Why would rent not rise? Landlords know you have X more to spend now. Why would they not raise prices, altruism? You think that's their reason behind renting out property?

Same with the telecommunications pseudo-monopolies: you really think they won't try and tap into that resource even if a little? Communications has become almost as vital as housing the last decade.

Companies will do everything they can and the public is capable of paying to increase their revenue.

Also: depends on how you define 'rent control'