Do you firmly disagree with all of it, or just the clothes and gym part?

I don't have any objection to suggestions like "help people" or "be [a] good friend" or even "cook" and I think they're a core part of making friends. Today I cooked dinner for two friends and just got back from driving one of them home. They've been similarly kind to me in the past. Friendships are built on foundations like this.

It's absolutely correct that you need to invite people to do stuff before you worry about whether you're helpful enough, but you also need to go from being two or more people who kinda sorta know each other to actual friends.