Stop complaining about Tryndamere's ultimate keeping him alive during Urgot's ultimate.
Tryndamere's interaction isn't a special case.
Urgot does 101% of the champion's remaining health if they are below the threshold, then it causes them to die regardless of how much health they have left.
Tryndamere's ultimate makes him immune to death. It doesn't say anything about being immune to damage-- he is just simply immune to death itself for 5 seconds. If his health would be reduced below a certain amount (30, 50, 70), he still takes the damage but his health is instantly reset to that amount, and the damage doesn't kill him because he can't die.
He takes the true damage, then whether he would die from that or from Urgot "causing him to die regardless of how much health he has left", he just doesn't die-- because he is IMMUNE TO DEATH.
EDIT:
Apparently this is actually what Urgot's ultimate does:
First it deals 100% of the enemy health as true damage, then it deals true damage in powers of 10 until the enemy dies, from 10 to 1,000,000.
So I guess if you had a 1,111,111 shield, you would survive. Regardless of how it is coded, the idea behind Urgot's ultimate is that it causes the target to die and the idea behind Tryndamere's ultimate is that he is immune to death.
Asking for Urgot's ult to go through Tryndamere's ultimate is like asking for hard crowd control that goes through Olaf's ult.