Starlink V2 is 1000-2000km orbits with expected deployment of 12000 sats.
Moving to 2000km would be a massive downgrade in performance, I'm not able find any source for that, everything points to the next generation (V3) being deployed via Starship at that lower altitude of 350km.
https://www.starlink.com/updates#update10
> Starlink satellites operate in a low Earth orbit below 600 km altitude. Atmospheric drag at these altitudes will deorbit a satellite naturally in 5 years or less, depending on the altitude and satellite design, should one fail on orbit. SpaceX proactively deorbits satellites that are identified to be at an elevated risk of becoming non-maneuverable. This proactive approach minimizes the number of non-maneuverable satellites in space.