I am not an expert on this by any means. If you look at the wiki page:
https://wiki.project1999.com/Weapon_Procs
You will see that slower weapons proc more due to how the calculation shakes out. Having a slow weapon without haste will increase your proc rates.
There isn't any specific difference in 1h weapons vs. 2h weapons in terms of proc rates other than 2h weapons on average have higher delays (i.e. it is a slower weapon).