Possibly (semantics).....but (sorry) I must still disagree (using startup manager will still boot into the recovery partition because TM is not bootable):
it will boot the MBP to the 4 option menu
that is the recovery partition, therefore you are booting into the recovery partition. TM will be just one of the options listed in the Utilities screen..
Hopefully this will help:
https://support.apple.com/en-us/HT201314
https://support.apple.com/en-us/HT204417
and this (scroll down to "restore complete contents....":
http://www.imore.com/how-set-and-restore-time-machine-backup
If you can find anything that confirms that Time Machine is bootable (on its own - without using recovery), I'll gladly add that to my "having learned something new today" list, but if it actually was, then the need for CCC or SuperDuper would dwindle rather quickly, wouldn't it.