Lots of things make a difference to the response. Starting with the simple stuff, have a few different strings types (thin, thick, slick 6) and for certain tricks, you would want to adjust the string tension tighter than you do on a bearing yo-yo.
If you still need more response, you can very carefully sand down the ends of the wooden axle until it is as responsive as you like. If it is already too responsive, you can make paper shims to make the axle wider. It’s a bit of a hassle, but a little bit of spacing makes a big difference.
Another thing I have had luck with for making a butterfly more responsive is to apply a Turbo Disc to one side. I like the way the Turbo Discs break in, and to me it gives it a more predictable response feel.