I think the English word "weight" works. We know what it means, it is the heaviness in an object.
If certain trends in modern science do not use words in their normal and correct sense, I'd say that is their problem!
Just like we do not throw out "god" or "atom" from our vocabulary just because the authorities attach non-physical aspects to it -- so too we should not throw out "weight" from our vocabulary just because the authorities attach non-physical aspects to it!