I like the idea of sortition but I can't help of feel you'd end up with employed full-time legislative staff just becoming the de facto representatives. If you're an unemployed HS dropout who gets selected to be a representative, you're either going to listen to the committee staffer who's been working on this tax or education bill for the last 2 years, you're going to listen to whatever other representative manages to convince you to just vote however they vote, or you're just going to vote randomly (or not at all). Option 1 seems most likely.
Given how obviously current politicians just "vote like they're supposed to" I fear you're correct.
You'd have to add something else to sortition, like the legislature themselves have to come up with the laws without the staffers, or sortition them too.