No, it doesn't unless you shoot full auto. I have a swr spectre ii on a 16" 10/22 and even in the most aggressive shooting tempo, I haven't had mirage issues at all (16x max power on scope).
While you're right to be concerned, the low pressure and powder of the rimfire rounds equate to little mirage. I have only had issues with centerfire cartridges based on the 223rem and above (shot an sbr PS90 with a 4x scope no problem).