I guess the question is, why do you only use Tiburtus for tournaments, but use Triton for raids and war?
From your defense team description (Proteus, Rigard, Melendor, Triton, Wilbur), I see that you’re trying to use Triton’s heal boost with Rigard and Melendor. And Wilbur already reduces defense.
But what about offense? Do you color stack? there would be cases where Wilbur may not be suitable (like, a Blue tank). Then Tiburtus can be brought in.
I have both Tibs and Triton at +7. Triton was +7 for a long time, but I stopped on him because I pulled Lepus, who is a better “sniper”. I find that Tibs’ (and Grimm’s) defense debuff is more generally useful than Triton’s heal boost, too. So even when I color stack Blue, Grimm gets used more often than Triton.
Tibs with costume also has a small mana boost, so with a Purple mana troop he charges faster than normal. Not at fast mana speed, but faster than Average.
I would keep the emblems on Triton, but give new ones to Tiburtus