Am i over thinking plz read 😫

Okay me and my bf has been dating for a month now and i ask him why he dont show me off he told me it’s something he doesn’t do in a relationship he says social media is not what makes our relationship but he doesn’t hide me he goes in public with me and tells ppl I’m his gf when i pick him up from school ppl ask him who i am Nd he tells them i am his gf with no hesitation even at parties he would kiss me in the middle of the crowd Nd hug me with no problem when girls from his school approach him he introduce me to them as his gf before he even speak to them he’s not afraid to go in public with me or tell ppl abt me . Do you think he’s hiding something or maybe it’s just a little to early in a relationship maybe one day he would post me or social media or maybe it’s bc he just isn’t tht type of guy and little to mention he hasn’t been in a relationship in years so when ppl knows he has a gf they become very shock lol