All of the terminology is blurry. It's perfectly reasonable to call Eglinton LRT a subway. The vehicles are the same width as New York subway trains. The important bit runs underground.
Arguably, it's incorrect to call our existing subway HRT. It wouldn't survive a collision with a GO train, much less a freight train. Lagos is building an LRT system using the subway cars they bought from us.
Yes, Spadina was billed as an LRT when it was built. The meaning of the word drifted. Now LRT means something different in Toronto.
LRT and BRT both cover a ranger of possible operations and designs around the world. Some run exclusively in grade separated rail corridors, other have chunks of mixed traffic operation in old city centres. For example, Viva is building a partially separated BRT system in York Region that will have mixed traffic operation in old Richmond Hill.
If you don't like the word LRT, import a term like pre-Metro or stadtbahn. I think that would confuse things further, but clearly people have obsessively narrow definitions of the word LRT, annoyingly incompatible ones at that.