I feel it should be mentioned though that if the Champions say the protagonist is stronger, then it may be possible the Champion Title Challengers are at Champion Level.
This was the point I didn't quite get.
If the player is so far above Champion Kukui & the Elite 4, & the Challengers are also above the E4, isn't it theoretical the gap from E4 to Player Character is large enough that a Challenger can still be far enough above the E4 to have Challenged Kukui & won but not strong enough to have beaten the Player Character?
The challengers didn't face Kukui, though. When Kukui got dethroned he had to beat the E4 just like all the others in order to face the player.
My point was that Kukui in the first place could have not been at the same level of other regions' champion, because he authomatically became champion after founding the league and chosing the elite 4 (and supposedly proving to be above them).
It wasn't so strange to me even because Swoshi confirmed that champions from different regions aren't necessarily on par.
And my point is still a maybe, I'm fine with considering him at that level.
If the player is so far above Champion Kukui & the Elite 4, & the Challengers are also above the E4, isn't it theoretical the gap from E4 to Player Character is large enough that a Challenger can still be far enough above the E4 to have Challenged Kukui & won but not strong enough to have beaten the Player Character?
I'm saying the exact opposite thing, sorry if I wasn't clear.
That's the reason for which I think that former champions are still champion level, even if they don't have the job (Alder Lance, for example). Blue should still be at that level exactly because he is still above Lance, and so are, Red, N, etc...
Raihan also qualifies for that tier for the statement of him being a potential champion elsewhere, and Piers too because he almost defeated won against him, and it was stated to be a very close battle (Piers didn't even use the dynamax, while Raihan probably did).
To me the requirement should be having defeated the champion or having been one in the past. To me, just challenging a champion (or the player in the post-game), losing and saying how strong it was isn't enough to be placed at that level.
And my point regarding the trainers was that it's likely that over the course of the history some trainers went over the E4, faced the champion and lost. That doesn't make them champion level. I was saying that there's a distinction between E4 and Champion just to point that being superior to the first isn't enough, you have to prove yourself superior to the champion to have the crown. And the fact that the champion belongs to another category kinda proves that he is both superior to the E4 and even a step further.