As we've already observed sea level rising, wouldn't we have also already observed it falling in Sweden (and rising faster around the equator) if that were the case?

Well you also have to take isostatic rebound into account when attempting to calculate this as the crust where the glaciers were is still rising.

https://www.antarcticglaciers.org/glaciers-and-climate/sea-l...

We absolutely have. Remember NYC was supposed to be underwater by 2000. That’s probably because of counter forces like this one. This, or the prediction was a scientific mistake. They happen, too.