Edinlr- they didn't mention but they changed engines for the methanol test. Went from EFI engine to a carb. Totally different deal but showed, with that set up that peak power was no better with meth. Lower in the curve yes.
My understanding to go to the OP question is that when optimized that methanol is worth a bit over race gas (in a race engine, not the street deal they tested in the video). Boosted and such a different issue. Nitrous on the other had can be anything you are willing to dump into it but much more than just a few HP (10-20 maybe) but in a bike I have no clue but but you can get 50-100% HP) You mention not being willing to take the risk of broken parts with nitro. Properly done can be worth a lot of course. Improperly done, regular gas, race gas, methanol (contrary to popular belief, it can detonate too with bad results) and nitro can all lead to a basket of broken parts.
WE are all about peak power down the track at the 3 or the 5. If you have a choice go with nitrous.
Edit: Oh, i just noticed you were running a turbo. In that case my thoughts would be go with methanol and up the boost. A lot.
Simpler than trying to mount and deal with N2O and tuning much easier. Power improvement? Only way to tell is test both.