Let's be upfront. OVA 3 was not the best that Tenchi had to offer. The whole affair can be divided into two parts. The first four episodes which focus on the slice of life aspects, and the last three which have a bunch of Mind Screw
In the first four episodes, nothing really happens. It's just a slow drudgery limping along from one episode to the next, starting with an unnecessary recap episode and just getting worse from there. Noike
gets some character spotlight, but you have to wonder why as they do nothing with her character. A painful fourty minutes into her episode, we learn nothing about her other than the fact that she has some aggressive mental disorder regarding Mihoshi.
In the final episodes, we are treated
to a bunch of Mind Screw
imagery as Tenchi is sent flying into some psuedo sub dimensional world courtesy of Z's sword.
This is a standard tactic of anime writers to try to invoke True Art Is Incomprehensible
when they run out of ideas for a story line. It didn't work in Eureka Seven
and it doesn't work here. The final episode tries to untangle the mess they made of Tenchi's mother,
the girl Kagato nonsense
and the wedding between Misao and Mashsisu
which had nothing to do with anything in the first place.
If you are an Kajishima Otaku in the vein of a AstroNerdBoy,
you might find it natural to try to invent explainations for this series' painfully obvious shortcomings. More rational and unbiased viewers will want to give this peformance a wide berth...and hope that fourth OVA
never rears it's ugly head.