I gave QGIS -> Affinity a cursory look the other day and had no problem taking my results from an Overpass query and exporting it from QGIS as SVG and bringing it into Affinity. So, that gave me a ton of hope.
The opening of Illustrator files in Affinity Designer kinda sucks (my dashed paths for trails come in as tons of different objects, like it's actually only bringing in the PDF preview) but if I start anew on some of the maps I think it'll be fine.
I just bought the 2.0 package mentioned here and the next map I do I'll be doing in Affinity Designer to see how it goes. Fingers crossed!