A popular interpretation among post-Soviet fans (most of whom grew up watching this show) is that Volk is less a predator and more just a petty bully, comparing him to a gopnik (stereotypical Eastern European hooligan).
When the Wolf hangs around areas largely populated by children (a fairground, a circus), is he waiting for Hare to show up so he can chase him? is he just such a loser that he has nothing better to do than attend kiddie shows? is he a Psychopathic Manchild? or does he plan on harassing children if he can't find Hare? (See Memetic Molester below)
Foe Yay: Often, Volk comes off more as a sexual predator than a more literal predator.
One episode features an elegantly dressed Wolf coming over to Hare's house with apparently very friendly intentions, with a bouquet of roses and a bottle of cider (rare in the Soviet Union at that time). To millenial foreigners, it looks like they're having a date, but a Soviet viewer would interpret this as Volk merely sucking up to Zayats to lure him into a false sense of security, not outright courting him.
There are multiple times when Volk makes coochie-coo noises at Zayats or snuggles his cheek after catching him.
There's their tango in episode 2, complete with the Volk holding a rose in his teeth.
They have also danced a ballet duet.
The merry way they link arms and stroll up and down the deck of the ship in episode 7.
With Zootopia, after Russian Twitter users started comparing Nick and Judy to Volk and Zayets.
Beastars, which also shares fans with Zootopia, has been jokingly called a Nu Pogodi!High School A.U. (or alternatively "Nu Pogodi!THE ANIME!") by fans of both, due to the main characters also being a wolf and a hare.
An Eastern European version of Tom and Jerry? Are we talking about Nu Pogodi! or Worker and Parasite?
The scene in episode 10 of Zayats visiting Volk in the hospital, only for Volk to be his usual Ungrateful Bastard self, resembles the gag in the Spongebob Squarepants episode "The Bully" in which Spongebob visits his bully in the hospital, only for the bully to say he still wants to kick Spongebob's butt.
Jerkass Woobie: As often as he harasses the hare, Volk also seems to be a down-on-his-luck blue-collar man with no job and presumable nothing better to do, whereas Zayats usually comes off as a bratty little kid.
Memetic Molester: An occasional (though understandably veryunpopular) interpretation of Volk's tactics in capturing Zayats is that they appear predatory in a... different way then they were most likely intended. In addition to Zayats's Vague Age, Volk often follows him into or hangs around places largely populated by children (see above). To say nothing of the slow, almost sensual way he sometimes grabs Zayats by the torso or the creepy baby noises he sometimes makes at him ("Chuuu chu-chu-chu-chu!"). It doesn't help that we rarely see what the Volk's actual intentions are in stalking Zayats (only twice is it implied that Volk wants to eat him).
While Zayats does distinctly adult things like smoking cigarettes, drinking alcohol and even holding employment in several episodes, he still looks and sounds like a toddler, which makes a lot of Volk's antics come off significantly more pederastic than were most likely intended. One episode even has Volk trying to find Zayats in a choir of similar-looking hares by crouching behind them and grabbing them by their tails one-by-one in a way that looks like he's pinching their butts.
One short featured Volk being captured by a group of African bunnies complete with big lips and tribe outfits.
Viewer Gender Confusion: A Zig-Zagging Trope for Zayats. It's an Averted Trope in homeland Russia, because Zayats in question is called/named just "Hare," and the Russian word for "hare" ("Zayats") is masculine by default, implying that Zayats is indeed a boy. Don't ask. He is also wearing shorts. Unfortunately, played straight for Zayats for those in other countries who caught the export version as H Zayats' somewhat high-pitched voice was imitated by the English VA, his engagement in feminine activities were left untouched, and Zayats' gender was never really brought up- many didn't really notice the shorts or assumed him to be a tomboy. Meanwhile, this trope is played straight with a lot of other anthropomorphic animals appearing in the series, whose genders are determined mostly through the pants vs. skirt method. Zayats is seen several times dressed in a style similar to Volk, & wears swim trunks & no top in beach episodes, which is where most confused viewers will figure it out.
For many people, the cartoon's version of Alla Pugacheva's Iceberg is much better known than the original.
For many viewers (especially kids) from former Soviet block, it was one of the first (and legal) chance to listen to contemporary western hits.
What Do You Mean, It's Not Political?: As mentioned on the main page, the show was actually highly subversive for something made behind the iron curtain, being largely apolitical and lacking any Soviet imagery at a time when propaganda was at an all-time high. That said, it's moralistic intentions — the villainous Volk being an unambitious (and presumably uneducated) lowlife, while the protagonist Zayets is virtuous and intelligent — have been interpreted as a reflection on the animosity between the bourgeoisie (Hare) and the working class (Volk). Per word of series director Vyacheslav Kotyonichkin, the show doesn't have any greater message than simply "don't hurt the little guy or you will yourself get into a foolish situation," which can apply to any political leaning.