It is easier to move if you rent (it still isn't easy). In fact if you rent the ease of moving is one way to control rent increases. One consideration on the rent vs buy choice is do you want to stay in the same place for many more years. The advantages of buying generally only happen after 5-10 years in the same location. Thus I expect this to hurt owners more than renters because I expect renters to move more often anyway.
The above is in general. I know renters who have been in the same place for years, that is okay so long as your landlord isn't taking advantage of you. I know homeowners who move every couple years - though I'm not sure I'd call that a good decision.