I think this bit of insanity is due to 27 referring to the outer diameter of the tire rather than the rim diameter. "27" appears to be a road bike standard as tire sizes are around 1 inch on that Schwalbe chart. If you have a 630mm rim and a 1.1 inch tire, 630 / 25.4 + (1.1 * 2) = 27.0 for the outer diameter.

On the other hand, "29 inch" is a mountain bike standard with a tire size ranging from 2 to 2.4 inches or so. For a 622mm rim and 2.2 inch tire you get 622 / 25.4 + (2.2 * 2) = 28.8 outer diameter.

If the OP has a "29" inch tire, that's a mountain bike. And I suspect their "27" inch tire bike is also a mountain bike, which is actually a "27.5" size which is a mountain bike standard, with a 584mm rim diameter. If that's the case they would have had to stretch the tube a bit to get it on the 622mm rim of the 29er, but at least that tube would be intended for a mountain bike sized tire, say 2.4 inches. Using a tube intended for a 1 inch road tire in a 2.4 inch 29er tire would be more of a stretch.