@dadpad,
dadpad wrote:In addition she has applied "The rules."
1. The wife is always right
2. if she's wrong see rule 1.
I think you just answered your own question.
Indeed, a glass with air in it is heavier than a glass with a vacuum in it. You fooled yourself with the phrase "full of vacuum", which really translates to "full of nothing". A glass with a perfect vacuum has absolutely nothing in it. By contrast, a glass without a vacuum has as many air molecules in it as the surrounding atmosphere does. It is therefore that much heavier---about a gram for a one-liter glass at normal atmospheric pressure.
EDIT: If you
must take the surrounding atmosphere into account---and you don't---perhaps you can get the right intuition by thinking of air bubbles in water. Do they rise or do they sink? Same with vacuum in air. The only difference is that the air in your example plays the role of the water in mine, and that your vacuum plays the role of my air.