Depends what you class as slight I guess (Im not an MOT tester BTW). There’s always heat in your front wheels after a drive. If it’s pulling at all or holds your car on a slope it’s likely it’ll be flagged but maybe only as an advisory. If it’s been doing it for ages you might find your bearing is buggered by baking the grease, which will fail, but I suspect it’ll go through fine if it doesn’t jam on
properly just before the test.
Mine was often binding but never failed until I forgot to check and they spotted the pads on that side were a bit low due to the bind. They did notice it was down on power too but it wasn’t enough to fail.
Stripped and rebuilt calipers in the end.