You might turn a corner at some point, if this is anything to go by:
https://www.youtube.com/watch?v=YCtafUgoCX0.
I had to think of this vid when I saw your topic. In the vid are paths there that have been covered with wood chips for 8 years. 4 years - 8 years: things can happen in that time, like soil being able to give back more and compaction becoming less of an issue.
It also matters what you're planting, of course. The guy in the vid is showing a tomato, I think that's kind of an easy one; fast growing fruit crops want nutrition, and don't mind too much if some of that comes in a somewhat raw form.
Today I harvested a big garlic bulb, my biggest one so far with a diameter of 8 cm. It was growing half in the pathway, somewhat down from the bed. My guess is in that position it stayed more moist, and probably there was less temperature fluctuation. And Alliums can deal reasonably well with compacted soil, although my soil is compacted anyway, also on the beds.
I think it's well documented especially in the Hügelbeet section that many crops benefit from being in the lower sections of such beds. So... what I'm saying is there are quite a few things to factor in. One example will not tell a full story, I'm sure you'll realise. It would be fun to learn more if you're continuing experimenting with this!