I just tried it on the D7100 in every combination I could think of. AFS and AFC with shutter or focus priority both, A mode, and M mode with Auto ISO. Spot and matrix metering both. I cannot duplicate your problem. In A mode the exposure always visibly changes, and in Auto ISO, the ISO changes, though one must review to see what it is.
All I can suggest at this point is that you make very sure that all the settings you think are set are actually set in both normal and U modes, and that something has not accidentally been overlooked. Among other things, don't forget to check that the ISO max in each mode has not somehow been lowered, and that you do this test with a starting ISO lower than your max.
If you manually set ISO higher than the minimum when using Auto ISO, it will not go lower than your setting. So if your max is set to, say, 1600, and you set it at 1600, it will shoot at that speed alone and will not float.
Some models (the D3200 is one) will also not allow you to override the max setting manually, so if you have set your Max to, say, 800, and try to take a shot with a setting of 3200, it will stay at 800 without telling you. The D7100 does allow you to override, so if, for example, you have set your Max to 800 and manually set 1000, it will shoot at 1000, but since you're out of the Auto range, it will not float.
Of course there's always the possibility that something has gone amiss with your camera but I suspect that somewhere in there is a setting that escaped notice.