Honestly they already have the answer, I think Survivor-Like is the perfect one, and coincidentally the one that was used first (as I recall). Makes sense considering we have Rogue-Likes, and used to have Doom-Likes.

All the other ones are too broad. Action Rogue-Like describes many other types of games, bullet heaven/bullet hell or whatever doesn’t apply to all Survivor-Likes as some don’t even have bullets, and Vampire-Survivors-Like is just too long.