Another idea would be to edit the asset value of your transactions manually and set it to 0,00000001 (could not be 0).
Omg, that's it!
I sear I've tried to enter a near-zero value before and it didn't save. But it does seem to save if the fractional part has no more than 8 digits. *self-facepalm*
It works wonderfully now (both in the Cointracking tables and the tax reports) without any workarounds I might forget it a year.

Thanks a bunch for all the help, much appreciated! ♡