Very interesting topic. I have an SP2 with a Hyperpro steering damper. I hate the damn thing, get's completely in the way when trying to get the tank off and need a wopping 41mm socket to undo the steering stem bolt. I want rid of it, might be for sale soon if you are interested...
However, I've been informed by Roger D (who must be getting right pissed off with all my emails, but he's a gent and always give me advice), that the main issue is the front forks. They are Fireblade forks which have been amended (both SPs didn't have they own specialise forks as Honda new they would only sell in low numbers so didn't bother, plus in racing they'd be changed anyway).
The answer is to "Roger" the forks, then you can do away with the steering damper and the rear shock is perfect.
Another bit of advice I was told at the track. An RSV1000 had his suspension tweaked by a guy at the track. I saw him when he came back in after a session post Sus tweaking and he was thrilled. The suspension guy said it's common for most bikes to be too hard as people think that this is the best. It's not, especially for V-Twins where there is so much torque, having a softer set up is better as it allows the bike to sink slowly applying the torque more gently to the surface. If it does then slip, it regains better too... I think this is what you experienced.... Don't ask me how it works
What it also shows is that you are a relaxed rider. The theory is that if you are relaxed and you loose the rear, the front will automatically regain control if no human input was present - think that when the rear slides, the front wheel automatically turns in to the slide. human panic will mess that up and crash, bang wallop. The advice is to relax and let the bike sort itself out, just like you did (several times). After the first, I'd be wound tighter than your suspension so would have been kicked off the second time!
I'm no expert, but devour info - in practice, I'm shite....
No bike (yet).