I have a simple mindset that If I don’t know about something about anyone’s query I don’t respond.
Please start learning to not to interrupt or raising useless questions/ phrases on someone’s query bcz it makes you judgemental.
So please take an advice to not to interrupt if you can’t help. It would be helpful for all of us.
This advice isn't all that helpful as it presumes that the author of the response actually understands that what they are writing is not helpful. That isn't always obvious to the writer, and if it was it probably would not have been written. Instead, if you find a piece of advice to be unhelpful, and feel the need to say so, be explicit about why you believe the response was not helpful.
As to the question at hand - it is correct that "analyze" being run or not doesn't really matter here - PostgreSQL doesn't have cross-table statistics that can be updated. That is about the most one can glean from the limited information the OP provided. Now, if you can place the columns on the same table, say in a materialized view, and then use the somewhat recent multi-column statistics feature, there is probably room for improvement.
Otherwise, the question is basically an open-ended one and maybe someone responds with some rules-of-thumb, or maybe they don't.