My assumption is that because inhaled substances don't go
through the digestive process, where they are broken down and utilized for energy, you are not actually absorbing calories
through the process (otherwise, we'd see some rather large fry cooks at McD's). But, when you inhale vaporized glycerin, whatever tiny portion hits your lungs has to go somewhere. I'm no pulmonologist, nor do I play one on TV.
If you're worried about it, let's assume for the moment that you could even
get caloric energy from vaporized vegetable glycerin.
Glycerin has 4.32 calories per gram. VG (also known as glycerol) has a density of ~1.13 grams per ml (converting from
this site).
If you
consumed an average of 3 ml of 100% VG a day, you'd only add about
15 calories to your intake per day.
That's about the number of calories in, say, a teaspoon of sugar. It will have no measurable effect on weight gain or loss.
(Again, I'm making these calculations as if you
ate it, not vaped it, for reassurance's sake.)
So in terms of any post-quitting weight gain (which some have dealt with during
vaping, some have not -- there are threads discussing this, of course), VG will not be the culprit.