I would want to have the air connected, I believe the brake needs air to release (just going by the way my HRT310 works). Funny thing though, I would expect you to get an "A axis overheat" fault if the thing did much rotating with the brake applied.
The motor "hum factor" was something I experienced when I first hooked up my nameplate-less HRT310. It seemed like the motor was quivering all the time. A call into Haas tech support gave me some new parameter settings for that axis, I believe the only change was #282 Max 3rd Deriv, which was to be set to 1000000000, from zero, IIRC. The settings may be different for yours.
I've seen my control toss an error a time or two, when I begin homing the single axis immediately after installing the table. It generally clears up after I reset, and then try homing again.
First you get good, then you get fast. Then grouchiness sets in.
(Note: The opinions expressed in this post are my own and are not necessarily those of CNCzone and its management)