So weirdly enough, just when I was doing my 2nd test run with the Assiomas and the Magene P505 whilst messing around with the power scaling in the Magene app, a new firmware update popped up. After installing it, the Magene PM is now recording roughly 2.5% less power (with the power scaling at the default value of 100%) compared to the Assiomas according to compare-the-watts.com
I only realized it when comparing the data sets on the website. While I was riding, I set the Magene up so it showed roughly the same values as the Assiomas and I ended up back at 100%. So I guess I'll be trying 101% next. The power scaling feature has quite an exaggerated effect. Going up and down by one percent changes the readings definitely by more than that, I found. Hopefully, I'll get them to match in the next run. Until the next firmware update rolls out, that is.