The "Karma Police" hitmakers were named among the Class of 2019 last month (December 2018), alongside the likes of The Cure and Def Leppard, but Thom tells Variety he'll follow Dire Straits star Mark Knopfler's lead from last year and stay away.
"We've always been very blase about that stuff," the singer says, "so we don't want to offend anyone. We just think that we just don't quite understand it.
"We've had it explained to us, so it's cool. But we don't really understand it as English people. I think our problem is essentially that every awards ceremony in the U.K. stinks. We grew up with the Brits, which is like this sort of drunken car crash that you don't want to get involved with."
Yorke reveals he'll be too busy preparing for the premiere of new piano works he wrote for Katia and Marielle Labeque in Paris to attend the Hall of Fame bash in April. The Labeques' performance at the Philharmonie de Paris will take place days after the induction ceremony.
But he won't be snubbing the Oscars if his "Suspiria" song "Suspirium" gets a nomination for the Academy Awards.
"I hope it gets nominated," Yorke says. "That would be great, because it was a year and a half in my life, and I worked bloody hard on it. So, you know, sometimes it's nice to be recognised."