My experience of modern day "rebuilders" would lead me to surmise there are no bloody rings in it
thats looking on the bright side.
But its off with the top if you ask me, sound like too much blowback past pistons, like Rex says Triumphs do not usually wet sump.
Could be a bad bore, too much ring gap, even wrong size pistons[don't laugh,seen it].
If you find the slightest thing wrong or cocked up, Iadvise taking the whole lot down and start over again.
but everyone's interpretation of a "rebuild" is different.
you hit the nail on the head.
Good luck, these Triumphs are not a hard engine to work on, I used to be able,when younger, to get the engine in bits before lunch and have it reassembled and running by supper.