Theres a big problem, which has been described by many philosophers and political theorists (from socrates to Machiavelli) which is that politicians are first and foremost self-serving.
Most political work is not done for the population as a whole but for the own continuing of the political class and personal enrichment. Yes, sometimes these incentives align with the interests of the constituents. But if politics is about compromise and you have two groups with opposing views whose only common ground is "we are all politicians here" its most likely that a lot of the agreements are going to benefit the political class.
There's people arguing for sortition and sortition (at least as citizens assemblies, the way the OECD describes) tries to solve this problem. As people go into an assembly and don't have other incentives than to defend their own positions with regards to a certain topic of discussions. Its not a permanent body and that gets rid of some of the perverse incentives of politicians.