Boyfriend wants to buy house only under his name?

So my bf and I are at the point where we want to buy a house instead of paying other people’s houses off through renting.

Anyways, he’s been saying that he’s going to apply just under his name . Saying he will see how much they will allow him to borrow etc. and I think because he will be putting in his savings (inheritance ) for the deposit as I don’t have much.

if he buys it under his name and I’m paying it off as well because obviously our bills are split, I feel like I’d want to buy it with him? I just feel like we are a couple and we are wanting a family together so why not?

I feel like if he buys it under his name only then I’ve missed out on the opportunity to go through that first home purchase with my partner in crime. Even though technically I’ll be going through it with him but on paper I’m not ? And I can’t officially say it’s my house that I’ve purchased ?

And I don’t want everything to be like “his home” not “ours” , especially when we have kids because that’s just weird. If I’m with someone And we live in a house together , I’d like to call it our home and not just his.

Anyone have any advice ? Anyone’s partners have your home under a loan under just their name or just yours ?