"I wonder how this compares to Sketch?"
Sketch is focussed on UI designers. Affinity is focussed on illustrators. Different markets, with some overlap. In many ways, within the Adobe suite, Sketch is closer to Fireworks than Illustrator.
I think part of the reason you're seeing a bit of an explosion in apps, in addition to the general digruntled-ness with Adobe, is that Illustrator is one of those apps that is serving many different markets — not all of them well.