Short answer: There is not a significant overlap between game developers and web developers. There is certainly overlap, but they more or less remain two separate groups. So, while it is a good idea, it falls in the realm of "Facebook games" or browser games. Which are worthwhile, and I agree should be implemented ASAP in regards to Nostr.

But it's a lot to consider. Some parts of Web development can include gamification. But in both models there exists a problem of monetization. So when you combine the two solutions, they aggregate the same problem twofold.

To host a web game, the winning model is to monetize the web game and advertise the crap out of it. Since Nostr is decidedly advertisement-free, there is a clash in the pipeline. Game developers would struggle to advertise and monetize their games on Nostr.

It is not impossible and it is a good idea. But the question is where to start, and who's going to do it.

I was looking at a game called Imperials last night which is a FOSS clone of Settlers of Catan. But, to Nostrize the game means taking on all of the costs myself, with no effective advertisement strategy, and confined to a clone that doesn't look particularly good. And the artwork is copy written also. So I would need to hire an artist.

I think having development groups centered around this idea could be very effective, but as an individual it can be quite a bunch of work and problems. Many other applications seem easier in contrast.

Integrated games took Facebook to where it stands now. It's worth doing but it's not easy.

Facebook had it easier with a centralized platform. We'll have it better in the long run, but not easier in the short term.