Landlords don’t like turnover. You don’t make money on turnovers, you lose money on turnover. And it’s much better to have a happy tenant than an unhappy one. Source: am a landlord.
As for “just move out,” why play that card now? Why not politely find out if the landlord is even aware there’s a problem? I find that 95% of the time, treating people respectfully will get you going in the right direction. And if speaking with the landlord doesn’t do any good, yeah, ok, maybe then looking for a new place makes sense, but why run off in a huff before the reasonable options are exhausted?