That's what they advertise, but multiple times when checking the price is absolutely the same on desktop (from a different account). They've already been caught in false advertising so i don't see why they continue to do it
Prices are so flexible I usually find a hotel and then Google it to find a better price, even if I end up on the same site. The worst thing is when they advertise a price without taxes, which unfortunately is not illegal in most of the world. I think in Europe you’re required to show the final price.