Which block entities does the name parameter work with?

This is related to a similar question I asked as a follow up under a post I made in datapack help (feel free to go there if you know the answer to my question) but I think this question is more focused for here. Im working off of this tutorial: https://www.youtube.com/watch?app=desktop&v=Y60tk-izzCA at around 5:08 in the video the creator mentions a "name" parameter I can use but will only work for certian block entities. Which block entities will this work with? Im also presuming that the "name" parameter alows for an infinite amount of different textures for the same block when named and placed anywhere (but correct me if Im wrong). And if you know, which block entities cause the least amount of fps lag: https://minecraft.fandom.com/wiki/Block_entity