Well, he's got the idea now that he's got more money than you so I guess that's fine for him but it won't be enough if he gets interested.
Because whether you show it to him or not, if he's truly interested he'd do his own research about btc.
that is exactly true. with the current technology these days, basically everyone can do their own further research if they want to explore things. we don't know the absolute truth about the OP's story, but if that was indeed true, then, yes, he got his friend's interest into this market. but do remember that he should advise him about the risks involved in getting into this market.
there's nothing wrong showing someone else's your wallet. but do you really think that is a smart move? i am not comfortable on that kind of situation. but as a holder, much better to be discreet with your dealings here. you'll never know potential risks that you are getting into up until you are in the terrible situation of losing your funds.
do remind yourself that you don't need to convince anyone to be on this market. they can get involve here, but it should be voluntary. they won't hold anything against you whatever may happen to their assets.