Nice work, it looks really polished! What I would suggest improving is the single user experience: what I can do without involving friends. Right now I only see a huge list of strangers in alphabetical order. Picking someone at random seems pointless. However, if strangers could be sorted by match, that could be really interesting. That could also serve as a benchmark for my matchscore with friends.
If this is prohibitively costly in your current setup, I would suggest mapping each user profile to an embedding vector and find best matches using approximate nearest neighbors, that scales really well.
If this is prohibitively costly in your current setup, I would suggest mapping each user profile to an embedding vector and find best matches using approximate nearest neighbors, that scales really well.