How do you know if love is genuine when theres no curiousity? (19M) doesnt know my full name (18F)

Bf (19M) Says he loves me wants a future with me planned trips with me wants me til he’s old. But doesnt know my last name even though they have my email. Tbf i hate my name so out of respect he didnt ask more. But I did say my full name once on a call. He also only knows my nickname even though I told him my full first name. I know its realistic he wouldnt know it but I had a bit of an expectation that he did knew somehow. Or tried to know at least because I didnt really try to conceal it. Which is wrong on my part because I did tell him I dont like it. Why am I like this? Another thing thats bothering me is theres not a lot of follow up questions in our conversations. Like if i tell him my favorite horror game is this he doesnt ask more. I think its both a difference in personality/communication style but it might also just be that hes not that into me as a person and more like a gf.