Theia- Great review on the shorts. I have not tried Assos shorts …yet.
Last year I purchased 2 pair of Rapha Classic Bibs. So far, they have been my best shorts/bib purchase to date. The padding is large - similar to Assos- not too thick but it is in the right places. These are my go to bibs. I wear them mountain biking and road, cross, gravel riding. Not all shorts made for road riding, feel comfortable mountain biking.
They wick away the moisture from your body too. The legs are not too compressive- no sausage legs! In winter, I wear them under tights. I am one of those crazy riders who rides in all 4 seasons - outside as much as possible.
Rapha is not cheap but they have good clearance sales in fall and at Christmas. (My favorite piece of Rapha clothing is a wool blend long sleeve jersey that I wear fall, winter and spring.)
For mountain biking- I have a pair of Pactimo bibs with mountain bike shorts. What I like about these shorts is they are light mesh, but have nice compression and breathe really well. They are made to go under mountain bike shorts so you don’t feel like you are wearing double shorts.
I do a lot of long rides ranging 2 &1/2 to 6 hours. The longer the ride, the more the shorts matter.