You cannot boot from Time Machine, but you can boot from the Recovery Drive (or a ProToGo image of the Recovery Drive) and reinstall from a Time Machine backup.
I tried to boot from Time Machine using the Option button at restart. The startup options presented were my main drive, my Super Duper backup, or Time Machine.
I selected Time Machine, which it took quite a while to load and, when it had, it showed a Utilities set of options which included (if my memory is correct) reinstall from Time Machine, Reinstall the OS, Run Disk Utility repair....and something else.
Would it be right to assume that's what a person would see if using the Recovery Drive?