Me and my curiosity is back

Okay, so I was wondering if this is true or if the staff at the psych hospital we were inpatient and another psych ward we talked to because we have been the "closest of kin" to another DID'er (though we are not related) at were not knowledgeable in this subject and more or less just guessed this:
Switching burns more calories than going between ego states, significantly so actually.
This was relevant as both ourselves and our best friend (they're DID as well), as well as seemingly other patients who have been DID have needed a larger meal plan than others to maintain/gain weight, even though they no parts are engaging in behavior that would cause a drop in weight.
Have any of you heard of this before? Is there any truth to this? Did they just guess (as they have done in many things)?
- Emma