Yes but they don't think they are doing harm

Progressivism is an ideology with a single principle - change - they have to move forward much like conservatism's principle is 'dont change it'.

There are no static principles here. Progressives used to support free speech for instance, when it was a new and progressive value, but have now progressed to a new and 'better' ideology of restricting dangerous speech.

Conversely, most historical attacks on speech in the US have been from christian conservatives concerned with naughtiness. But this also isnt static, because now free speech is becoming an old 'traditional' value rather than a 'new' progressive value, and we see conservatives defend it

Both of these ideologies are defining good not by any principles, but where those principles exist in time, i.e whether they are 'traditional' or 'new' values. Traditional values are the boundaries here. Progressives have to push boundaries, and conservatives must protect them. Reducing harm is assumed to be synonymous with progressivism and conservatism respectively by the followers of these ideologies, they both think they are doing good.