I would disagree with that statement.

When I talk about "rent control" I'm talking about it in the form of "general price controls" that keep the price of things from meeting supply on the demand curve. The controls in the party platform have everything to do with already subsidized housing that isn't actually on the demand curve anyway. The distinction is subtle but matters.

Similarly, a price-shock dampener that allows the underlying good to return to market rates in a reasonable amount of time is not messing with the demand curve, it's just a generalized safety measure, no different than a circuit breaker on a trading floor.

Again, rent controls and restrictive zoning laws both fall on the small-c conservative side of the spectrum, because both see stasis as a kind of natural order. The populists on the left are generally more aligned with small-c conservatives on the political spectrum, but again, the single-pole, right-left spectrum doesn't capture that distinction.