That's a Caitlyn. But tbh, there's nothing interesting that will happen before they respawn. Imo the right call is Cait tanking bot tower while they both attack it, Trundle probably wants to tank top tower just to die faster. This gives them some free negligible damage onto nexus turrets.
Then they come back with shiny new items and full mana, and regroup with their team.
If it's a pure tank trundle (hard to say, but he does have Aftershock), it might be better to just let him tank from the start, and suicide both champions to both towers.
EDIT : Actually, red has no nexus tower, so both dying might be cutting it close... I still think suiciding is the best, but peeling back is an interesting option.