When someone says "revolves around something" they are mentally projecting a whole sequences of measurements of the electron's position, one after another, that trace out a path. We are evolved to regard the path as a natural thing as opposed to focusing on the measurements.
But we can't do that for electrons orbiting an atom, since measuring them involves wacking them with photons or something that bounce off in some direction so we can see that deflection. So all we get to talk about is the result of a measurement.
When someone says "it's in this orbital," that's a statement about the values of energy and angular momentum a measurement will produce. What measurements actually produce those? Ones that involve absorbing or emitting photons, mostly, and we measure those by the energy of the photon absorbed or emitted, and those don't give us information about the position of the electron. You may think that we could put an electron into a very high orbit and then try to triangulate where it was when it emitted the photon based on the angle...but then you have to know where the atom is precisely, which means another measurement, which means some unknown momentum imparted, which means the energy spectrum of the photon we're trying to measure gets smeared...
Meanwhile, if we measure position precisely, then we impart some new momentum vector to the electron. What the momentum vector would have been measured to be before that wasn't known, and so we have no idea how we have kicked it and the orbital (energy and angular momentum) can have various values if we measure them afterwards even if they would have always had a single value beforehand.