I thought it was in the PR destination repository (since they are under that repository's /pull namespace). You'd need to add the alternate remote if it's a PR into a fork (as opposed to from it), no?
You are absolutely correct. My apologies, as I understood the problem as "I have a fork and want to receive pull requests".
This can be a pretty common setup for some git workflows. Everybody makes a fork and takes / pushes pull requests or branches from their fork to others. The main advantage would be that if you have a lot of branches they don't all have to be on upstream and you don't need to have upstream permissions for everyone to push branches or changes to.
Nonetheless, I can see why my comment raised some confusion.