All you're telling us is that, presumably as not one of the targets who's been told they are these things for decades, perhaps all their life, "
those words do carry a lot of weight".
All we're telling you is that, as those who've indeed been told that for so long, those words are dead to us.
And I'd add they're word salad to the other side when used generically in a political campaign, with about as much semantic meaningless as Blue or Green in pre-Nika riot Constantinople.
Shades of Bill Maher saying, sorry about crying wolf over our telling you the Current Year Republican presidential candidate was Literally Hitler (although he should have gone all the way back to the first example in 1948), this time we really mean it.
Circling back to your desire to re-imbue meaning to them, I don't think you'll see that in your lifetime. See, for example, the hundred year cycle of progressive -> liberal -> getting back to but not quite there yet progressive. When words and the concepts behind them get burned like this, it's really hard to recover.
And, yeah, it's much worse than the surface which we've mostly been discussing this at, the very concepts have been rendered stone cold dead.