If a business is capable of raising its prices and consumers will still pay, why would they bother to wait around for an increase in their costs? Why wouldn't they just raise prices and make more money? If you look at what our monopolies are doing right now, you will see the answer for yourself. Many of them are blaming supply chain issues or some other such nonsense for raising prices and obtaining record profits. Increased costs might be an excuse, but it's never actually a reason. The only reason a business raises prices is because they believe they can and customers will still buy the good or service.
Regulation is causing house prices to go up, but not because regulation is increasing the buider's costs. House prices are going up because local municipalities won't approve new housing projects, creating a shortage due to political reasons. In this instance, you've identified the correct cause, but not the actual mechanism for the cost increase. Cost has no impact on revenue. Costs are never directly passed through to the consumer.