Severe... lime? Scale? Something??? on cockpit floor

Greetings all,
I uploaded this photo to clarify a comment I was making on my centerboard downhaul line post and it reminded me (yet again) of another question I've been burning to ask.

Please note the very delicate hues of brown and white in the forward cockpit port side floor (deck?). As best as I can tell, this poor sad DSII spent somewhere between a couple weeks and a couple years nose down in some serious sludge deep enough that at least a couple inches of (lake/river/swamp) water had collected in the cockpit. The brown scrubbed off with some elbow grease and I had all but concluded that the white was simply fading until while cleaning some other scum off the CB housing with some abrasive cleanser, I after the fact realized I'd somehow cleaned a portion of the white off the deck showing the blue gelcoat. This told me that this was a coating of some kind rather than damaged gelcoat, but other than taking softscrub and a very stiff brush I've been largely unsuccessful in cleaning much of it off at all. I don't want to scrub so hard with an abrasive that I wear off the traction texture in the gelcoat, but I've tried LRC, industrial versions of LRC (Lime Rust Calcium remover), wink, and every other thing I can find in our cabinets and the local hardware shelf. This is a really nasty layer of something.
Any final ideas before I give it up and try to paint over it? I have no reason to believe paint will even stick to it either.
Thanks,
I uploaded this photo to clarify a comment I was making on my centerboard downhaul line post and it reminded me (yet again) of another question I've been burning to ask.
Please note the very delicate hues of brown and white in the forward cockpit port side floor (deck?). As best as I can tell, this poor sad DSII spent somewhere between a couple weeks and a couple years nose down in some serious sludge deep enough that at least a couple inches of (lake/river/swamp) water had collected in the cockpit. The brown scrubbed off with some elbow grease and I had all but concluded that the white was simply fading until while cleaning some other scum off the CB housing with some abrasive cleanser, I after the fact realized I'd somehow cleaned a portion of the white off the deck showing the blue gelcoat. This told me that this was a coating of some kind rather than damaged gelcoat, but other than taking softscrub and a very stiff brush I've been largely unsuccessful in cleaning much of it off at all. I don't want to scrub so hard with an abrasive that I wear off the traction texture in the gelcoat, but I've tried LRC, industrial versions of LRC (Lime Rust Calcium remover), wink, and every other thing I can find in our cabinets and the local hardware shelf. This is a really nasty layer of something.
Any final ideas before I give it up and try to paint over it? I have no reason to believe paint will even stick to it either.
Thanks,