Beat Masking

JXL, aka Junkie XL, did exactly what you are asking, with Elvis’ ‘A Little Less Conversation’. He says he did not use an acapella, he used the original recording including all the instruments. The original was all they had, because it was from a film.

As a lot is not disclosed of what many artists find out through experiment, he know doubt created more room for the top & bottom without taking much, if any, away from the vocal. But he definately did enough to mask the original as best he could, and it was a success.