PSA: You still should pay attention to the map if you're dead

A lot of times, I've noticed that if a laner dies, they often times just don't pay any more attention to the lane and just open the shop, alt-tab out, or look at their phone/other device until they're back up. If you're dead, at least pay attention to what your enemy laner is doing until you know where they're headed or what they're doing. Be warned that this usually takes a little while to figure out, because most people farm at least a wave or two before backing/roaming/dancing/whatever they do. Don't immediately check out of the game because you're dead, because more of your team could join you in the Black Screen Inn if you don't warn them of impending danger from your laner.

If you want to take it a step further, you could become a vision-only teammate and scan all around the map, warning your allies about literally anything that could harm them. You don't have any actions to worry about while dead, so paying attention to the map and looking all around it for danger could save an ally's life.