Sure. And even if you could, you couldn't really know whether they like cheap hotels based on it. The question is whether you can get a signal that's statistically well correlated enough to be useful.
Actually in this case you could infer they like cheap hotels (or don't like expensive ones). If someone is willing to go to a lot of effort to hide who they are, to hunt for bargains, or check they are getting a good price, they are probably very price sensitive, and would like the cheapest hotel you have, they've shown they are willing to waste their own time to get cheaper prices.
