I always rebute it with some form of "I don't chase". Sometimes she will say that she doesn't understand why/that this is how it is that men chase for the first few weeks because later on they get regular sex and care or something along those lines.

What is the best way to respond to those and what should I be aware/careful of?

I see her relatively often due to mutual hobbies, we made out numerous times, went on a date, tried to get back to her house with plausible deniability but she said she's not bringing me back on first date and later called me out humorously about it, to which I responded with "i aint that easy, don't know what you were thinking about :P", and she has clearly gotten a little more comfortable/open around me, being more goofy and so on.

Any advice?