Interesting results DragonSnooz, my experience differs but I haven't recorded enough to get an accurate distribution.
I was more interested in seeing the difference in low roll streaks since missing a lot in a row is what I was hoping weighted dice would fix and I don't experience much difference in that regard.
I recorded 100 attack rolls against my bear since I can just resummon over and over without other rolls getting in the way, I assume the target doesn't matter.
Here are my results:
https://imgur.com/a/9i2rCr3Non-Weighted DiceNumber of rolls 10 or below: 43
Number of rolls 11 or above: 57
Longest Streak 10 or below: 4 rolls
Longest Streak 11 or above: 7 rolls
Weighted DiceNumber of rolls 10 or below: 47
Number of rolls 11 or above: 53
Longest Streak 10 or below: 5 rolls
Longest Streak 11 or above: 7 rolls
Weighted dice does seem to produce a more balanced roll distribution and an increased number of crits but did nothing to help my unlucky miss streaks.