Calling it a terrible comparison to avoid the obvious point by analogy is effectively just a way to avoid the discussion.
If you want to engage seriously with it feel free to comment with that.
If you want to engage seriously with it feel free to comment with that.
If an analogy is bad, it's bad. The parent explained why they felt it was bad. If you want to "engage seriously", you should address why their points about the analogy are wrong.