There were two recent pretty well publicized games even in the old line that Carlsen "refuted" against Kramnik, with Black scoring 1.5/2, and never appearing to be in too much trouble
https://chess24.com/en/watch/live-tournaments/fide-womens-world-championship-202... https://chess24.com/en/watch/live-tournaments/tata-steel-challengers-2020/8/1/4 Carlsen also played the Korley line at the World Blitz
https://chess24.com/en/watch/live-tournaments/world-blitz-championship-2019/3/1/... And while the Engine yells +4 somewhere in the middle, his willingness to play it at all may or may not mean something (ok, he plays the Norwegian Rat in Blitz, so who knows)
-- Don't know if there's an actual name for it, I just call it "Korley line" based on this game
https://www.chessgames.com/perl/chessgame?gid=1968792 , which he made a video about
https://www.youtube.com/watch?v=AQIh-NqZKHQ There's also the Ntirlis treatment in his 1.d4 d5 book, where White seemingly has to find/know the plan of castling long, followed by Kc1-b1-a1 + b2-b4 (+Rb1?) to achieve anything, as he did here
https://www.chessgames.com/perl/chessgame?gid=1924134 , but Black has some improvements along the path of course.
I don't know anything about the Illingworth line, but if he recommends it - I trust him as an author/analyst, so I have no doubts it's quite playable as well.
It's a major opening, so yes, it will always be "fine". If you're a sitting duck, and play the same variation every game, while the entries in the database pile up, at some point you're going to run into issues - but that's the case in any opening. As long as you jump between subvariations here or there, and aren't too concerned with playing a boring "no-play" line as in the l'Ami game, I see no issues with the QGD Exchange. If you're below 2200 or w/e, then "anything" works as a main response anyway, and certainly the QGD is rather on the "sound" than on the "bogus" end of the opening spectrum.
SuperGMs don't visit it much anymore, since there are even *fewer* issues in the Nimzo, but I mean.. that applies to pretty much any opening under the sun (aside from the Berlin, perhaps?), so it doesn't exactly disqualify the good old QGD.