Several issues with this trope IMHO.
1. The name is simply unclear and perhaps misused. By it's definition you naturally think of games that are actual derivatives, or variants of Chess as we know it. Yet the Description allows for, (via not specifying a clear upper limit on the level of differences), and the examples list contains cases where there is littlie if any rules similarity to chess. The name is at least vaguely confusing in it's implications, since there appears to be no requirement in the examples list for the game to bear resemblance to chess as we know it.
2. The description itself is unclear. It talks again about things which are variants on chess rules. But is unclear on how far the rules can diverge before it fall's outside that and the cases of examples being placed in that involve games that are visually similar to chess but play nothing like chess raise further confusion.
3. The trope is rather short on examples and links to it. IMHO the ambiguity in the trope itself is probably a big issue here.
The obvious question is what to do with it.
I don't think it needs cutting, it seems in my experience to be an actual common trope, (hell there are apparently 2,000 IRL examples over on The Other Wiki
Theoretically we could split it so that the actual chess modifications go in one trope. And the chess like in another. However Iím not sure thatís going to work as even with an examples expansion we may run rather short on them.
Rather Iíd like to suggest a rename to avoid confusion and a re-work of the description to cover the broader scope the trope has taken on now.
For the name Iíd like to suggest Chess Analogue
or Chess Equivalent
As far as description goes. To build on the concept Another Duck stated, (and to over simplify a littlie for the sake of a topic, and actual re-work would need to be more complex).
Anything that functions as an in universe chess equivalent.
To help avoid further confusion on what does and does not belong there Iíd suggest internally splitting the trope into 3 types, (in the same way the Tsundere page is).
One type for a game that looks like mostly or entirely like chess, and plays mostly or entirely like chess. This covers everything from novelty chess sets that use different looking pieces, to more serious but still recognisable 3D chess. Byzantine chess, or more weird examples like assassinís chess.
A second type that covers games with a visual similarity to chess, (similar looking pieces or board will do), but littlie actual rules relation. Thud, and probably intrigue would likely fall under this category.
The third type would cover Games that fit the same role in the setting as chess. But which bears littlie if any resemblance to chess in appearance and rules. Stratamanga is about the only example I can think of for this.
The main outstanding question I see is weather we should include non-chess games that resemble IRL games or not. Chess equivalents usually stands out, but other rarely do to the same degree. However it's possible for some games to straddle the line as well. They might serve the same purpose as chess, but be clearly derived/based on a different IRL board game.