I’m 90% sure the coming in hot and heavy thing happens to every girl. I mean it happens to me all the time and I’m sure pretty much every girl putting herself out there will say the same. It’s called the wooing stage. They’ll say and do all the things like you described on the beginning. Same with how a lot of guys text everyday then slowly get less and less. 

You just haven’t met the right guy yet. Keep putting yourself out there and just have fun with it. Also stop over analyzing and worrying so much in the beginning about trying to play games, or be distant, or not be distant, or whatever else. Just let the relationship flow naturally and do what feels right to you. Enjoy the moment. 

And get the idea of “the chase” out of your head. That’s an outdated idea. Yes to some extent guys like to pursue and initiate and all that but don’t start playing games with them or purposefully never seeming interested. You’ll never get a truly worthwhile guy that way. Games are dumb and not healthy for a relationship.