The only problem is that he never reaches out to me. He always responds to my texts, and his replies are pretty wordy; I just don't know if he's being shy or just doesn't really care to be friends and only hangs out with me because he feels bad about lying.
Yeesh, I think you should honestly move on and spend your resources on someone else. Either he's confused or he literally lied and just isn't interested in you and wasn't upfront about it.
I say let the conversations as they are run its course and see if he actually wants to be a friend to you and if not you'll be able to tell.
Part of me actually wants to ask him about this directly, but I feel like that would be needlessly confrontational. Plus, I just don't have a good sense for making friends in the first place, so this whole situation is very vague to me.