As discs became larger and thinner, warping became a very common issue. Imo, mounting the disc on floaters is intended to cater for a certain amount of warping without transmitting this into the caliper and forks. Even this did not prevent early floating Brembos (and others of course) to warp and distort beyond being servicable, see 90's Ducatis and Zane Laverdas with their 320mm discs.
There is no advantage of floating discs that can be related to physics, given same size and material, unless the brake set-up isn't up to scratch from the onset. If your Triumph brakes improved markedly with floating discs, they must have been pretty shite before... the pad/disc material pairing is a major factor in brake set-up.
Never had any issues with the discs on the race Sportsters (German Harley Cup, 95-96) I built either, despite them being solidly mounted. But then, they were more akin to manhole covers.
A prime example of floating discs not being up to the job were the 340mm items on early Buells. They were paired with a 6-piston caliper and started warping 100 metres before the corner you were braking for. They distorted to the point of jamming within the caliper, I replaced dozens on warranty. A conversion to double 320 discs and 4-pot calipers cured all braking issues on our championship-winning "production"

racer.
Floating discs are a selling point these days, reckon many bikes could do quite well without them.
piet