Well, I meant sad but true that we're not likely to see the KG played by top level GMs anymore. As for black getting a "significant" advantage...... that does sound like a bit of an exaggeration..
I checked KG games in the DB and some obscure hacks named Carlsen, Kasparov, MVL, Morozevich are at the head of the list. The games are far and few in between, and probably blitz, but the point is the more adventurous GMs do give the KG a shot once in a while.
Bronstein and Spassky somewhat revived the KG in the middle of the last century. Maybe now some chess engine will get good enough to find some advantageous lines for white with this opening.......
and Carlsen, Kasparov, et al even played 1 e4 e5 2 f4 exf4 3 Nc3!?
As for the engines, I think it'd be asking a bit much to expect an advantage for White. They generally favour Black. The most they'll concede is that White is okay for a draw with best play. But in practical terms that's okay for me as a non-professional: if things go wrong White can still draw; and if things go well (which they often do) then...
In the 1. e4 e5 2. f4 exf4 3. Nf3 variation the move Nf6 here seems to be almost winning if Black plays correctly.
4 e5 Nh5 5 Be2 is okay for White, if played correctly.