I do quite a bit of captioning within premiere cc.
I’ve never seen them burned in to a quicktime. In quicktime preferences
you can enable or disable that it will show the captions.
also, in premiere cc, there is a preference for it to recognize
and import embedded captions. by default it is not enabled.
If I export a quicktime with captions on the track above it
and in the export settings, embed the captioning, export it,
then re-import it, the captions will be there.
For long form such as what you are working on, I would recommend
the services of web.automaticsync.com you can send them a txt
file and an mp3 and they can create the captions for you and double
check them for a reasonable cost.