Definitely agree with the faster blade recommendation, but I'd like to warn you a bit about the D09C. I'm playing with it for 1 month now and my conclusion now is that it's a rubber for profi-players ;-) First, it's not really fast, and Btfly rating here is a marketing. Yes, you can get some speed of it if you hit hard, and it is built for it with its rel. hard sponge. And yes, it is faster than G09C if you hit hard. The sponge is good for what it was built. Anyway, let's not go deeper into this point... More important is its harder top-sheet. I simply am mostly not able to engage it in the "foreseen" way. I often have to play a slower shot, and here I can get more from a softer rubber, like say G09C. Yes, the harder top-sheet has advantages, e.g. for counter-spinning - but how often do I really do it, so that it could out-weight, I mean you can do it with other rubbers too, just perhaps not as optimally... I think there is reason why even T. Boll switched from it...
I think I follow your reasoning here.
Part of why I'm leaning towards D09C is that I like how the harder topsheet of H3 works. I've never been a fan of really springy rubber on FH, as my short game just doesn't work well with that. The limit probably being Fastarc G-1 which was acceptably OK at handling incoming spin without the ball jumping off immediately.
I did NOT like Rakza 7 in this regard. The ball sinks in the topsheet without any effort at all and it will jump out in a way that I find annoying. So either I have to take two steps down in overall rubber performance to get the amount of jumpiness down to what I like and suffer lots of performance drop in other departments (Vega Europe comes to mind) or I go the tacky/hybrid way.
Timo Boll has been playing Tenergy and D05 for ages - I never once had a good experience with Tenergy other than the addictive sound, even 20 years ago. I completely understand he's going back to what he's much more used to playing.
By that logic though, I would go back to pre-tensor

and I don't really want to do that.
D09C being fast is measured compared to H3 Neo for me, not compared to D05 or any Tenergy. I can imagine its base speed isn't necessarily fast, but definitely more than a H3 even when boosted, right?
I think that pairing G09C on wood will result in it being too slow, and thus not make much of a change in getting my faster balls a little safer arc yet be faster, more dangerous. It might work better on the Pro 01 and make the transition easier, unless there's not as much of a transition as I'm anticipating and just slapping on D09C on Pro 01 would simply work well for me.