As a leftist: The youngest people don't recall that is was the Berlin-"PDS/Linke" going all-in on neoliberal privatization with Wowereit's Berlin-SPD from 2002-2011. They sold off the biggest chunk of state-owned housing, slashed funding for building replacement units, and made zero effort to mitigate the obviously following rising rents via new housing until it was much too late.
I'm willing to extend the federal Linke a line of trust, since they haven't been in a government coalition, yet. The Berlin-Linke, however, I cannot trust to actually stand behind left policies - they have done too much of the exact opposite in the past.