Can you feed a 10 month old baby until he pukes in order to clear his sinuses? [Easy there! Details included]?

This Thanksgiving the 20+ young woman sitting across from me [at the folding table] was feeding her 11 month old baby from her plate. He was eating really well. Suddenly there was a…er…reversal of fortune and we were all handing her our napkins, and I passed her my empty plate to contain the substantial mess.

Once the immediate crisis was over, I quizzed the young mother. Doctoral findings:

This had been the norm for about 3½ months.
The baby’s sinuses are apparently full.
They have been given apparatuses to suck the baby’s nose, that require the baby, both parents, and a lot of crying.
I understand the acceptable way to purge his sinuses is to feed the baby until it vomits.

I feel for the baby. I feel for the mother.