Randy, it appears that we have a big tent here, room enough for everyone's tastes. Generally this crowd tends to lean more toward the "correct" side, I think.
Personally, I'm glad Randy speaks up on these issues. Preserving the marque is a lofty goal, and I applaud those who strive for a correct restoration, every one of them.
However, as much as I like correct cars, I also like modified ones. I drive an MG Midget that has enough Datsun parts (210 gearbox; alernator, starter) in it to possibly qualify as a "ricer". It's also a show winner. I've also restored Triumphs, from rust buckets, and none were completely "correct" or original. Close, but not concours.
And to answer Randy's question, I think the car remains a Triumph as long as the owner cares for it. Concours judges will opine differently, but for me, if we really take good care of the car, it lives on for the next owner to enjoy (or to restore back to original).
Preserving the car for the next owner is what matters (and there will be a "next owner"). Even if the car is butchered, at least part of it survives. I wish everyone would restore them correctly, but that's just not gonna happen.
FWIW.