I agree. Energy is in fact a source of gravity so if that was squeezed out then you’d also be squeezing out the gravity source as well.That cannot happen. Energy isn't like a liquid you can squeeze out of objects like water from a sponge.
It’s a common misconception that the uncertainty principle allows for that. Most people/authors/physicists misread the so-called time-energy uncertainty principle. In fact it’s not really an uncertainty principle in the normal sense since it doesn’t give a relationship between two uncertainties since the delta t isn’t an uncertainty but a time interval. See http://home.comcast.net/~peter.m.brown/qm/time_energy_hup.htmThis is similar to the quantum vacuum not being empty, it always has matter and energy in it even if you remove everything you can, as particles flitter in an out of existence due to the uncertainty principle and the relativity relation $$E^{2} = (mc^{2})^{2} + (pc)^{2}$$.