There is nothing conservative about HOAs, they have not been around long enough. They are, however, a feature of libertarianism, and libertarians style themselves as conservative. Could that be what you are thinking of?
that’s bizarre.....an HOA is the antithesis of libertarianism.
The conservative answer is the freedom to buy - or NOT to buy - into one.
Try to think ideas for a second. Think beyond the immediate.
The conservative view of HOAs is the freedom not to be in one if you don’t want to. Or the freedom to be in one if you like the house, condo, whatever, and you think having an HOA is a good thing.
There’s no government saying you MUST join this or that.