Spinertial Gravity only works if you're actually in physical contact with the object. Hence, mag-grapples on your landing gear - you're inertially "free" until you make contact with the pad.
Let's say for the sake of science fiction that the docking cylinder is full of air, held in by the Slot's forcefield. The air near the middle will be very nearly still - chaotically vorticisizing, but slowly.
The air near the pads will be moving probably 30 miles an hour or so relative to the air in the middle, but on the "ground" would feel mainly still if you were stood there.
But until you touch the pad, you're still static relative the station, and feeling no G. This is why even with Rotational Correction On, you still need vertical thrust to hit the pad.
Centripetal effect will hold you against a rotating object you're in contact with - it won't impel you to make contact in the first place.
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Also, if you want to pour yourself a drink to celebrate landing, keep the neck of the bottle inside the glass, and tilt the glass into the spin - otherwise you'll be sopping beer out of your flight console
