I'm talking about the teleport mode entry here
My rationale is that I can see no situation where you'd want different triggers to send you to the same teleport destination while having different behavior (please enlighten me if you do!). On the other hand, having these settings on the info_teleport_destination would not only give the special entity a purpose, it would also make changing your tp modes after the fact much easier and consistent, because there's no way you've missed a teleport trigger (think of a (KZ-)Bhop segment where each block could have a singlehop trigger that teleports you).
Now landmark mode might be different since it's relative to the tele trigger but the other settings depend on where you're going and not which trigger you're coming from.
This is of course a bit of theory crafting but I thought I should suggest it and put it up to discussion now, because in the future it would probably be too late and too difficult to change if hundreds of maps are released. (Also half of the maps are broken because of the teleport trigger change now anyways and would need some kind of patchup at some point).