Interestingly, many DSA chapters follow the same playbook so the Denver DSA is fairly representative of the DSA, which is the largest socialist organization in the US. So either the DSA is not socialist, not representative of American socialists, or is representative and American socialists are a device to stop affordable housing and create parks.
Which proposition or conclusion above do you disagree with and why?
I don't really know anything about the DSA so I can't agree or disagree with any of this. I guess I misread your comment, I interpreted it as "Based on the events described in this thread, American socialism's purpose is ...". It seems like your statement is actually based on a very broad context of the DSA's history and activities, which are not common knowledge, so it would have been nice to include some of that if you wanted to make such a sweeping statement.
You're also making another implicit claim here that DSA chapters have never had any impact other than stopping affordable housing and creating parks, which I think would be difficult to defend. After a minute of Wikipedia research, I see that at least nine members of Congress were active DSA members during their tenure, and obviously had other accomplishments. For example, I see that DSA member Major Owens was in Congress for 24 years and was a significant factor in passing the ADA.