A great advantage of sortition is that it removes the need for campaigning and political parties, so the lobbyists have nothing to grasp on. Another one is that it is scalable - if you have 10 separate issues, you can draw 10 groups to work on them.
There are a few court districs where the big IP fights in technology are being fought. In those districts, there is tons of lobbying by tech companies to make create a positive image of them in the local community's mind.
https://hbswk.hbs.edu/item/why-south-korea-s-samsung-built-t...
If more power is given to sortition, companies will do more of those kinds of things. In fact, I think that a component of the big-name-college-favoring GAFAM selection practice is due to them wanting to bribe upper-class America. If one of your family members works at one of those companies, you have a much different opinion on them.
Probably a lot easier to regulate than election spending, but still game-able.