Assuming you are speaking of the Ray Allen actuators supplied by Vans, then no, disconnection will not cause them to move. They are a packaged motor, screwjack and variable resistor for position feedback. The screwjack has a high enough gear ratio that it will hold position with no power applied to the motor.
PITCH
For my RV7A, I only have electric elevator trim. I have flown it with the trim at limits. It is not comfortable due to stick load but it is flyable. The motor moves slowly enough that sudden application is not really possible electrically although a mechanical failure that disconnects tab from actuator is certainly possible.
However, there is a series of events that CAN, from the pilots point a view, present a craft
suddenly out of trim. It has happened to me once.
It requires an autopilot with elevator control such as alt hold or better. I turned my autopilot on in a climb (DIGI II VS) without diligently triming first. Then leveled off (with the DIGI II) and began gaining speed. Shortly afterwards, the autopilot tripped out due to excessive electrical loading trying to compensate for out of trim. When it tripped, the aircraft did a sudden sharp pullup in response to the trim setting. I grabbed the stick and restored normal flight. It taught me a lesson to be more dilligent about trim setup prior to autopilot use (and I also now watch for an indication on the AP that says how hard it is working)
ROLL
I can only comment on spring based aileron trim (since the Vans stock electric system uses the same spring style interconnection as my manual system) and it is again easily flyable even at full trim deflection.
**AND NO I AM NOT IN MY JAMMIES AT THE COMPUTER AT 2:41 IN THE MORNING.
I AM IN GERMANY ON BUSINESS WHERE ITS NEARLY 9AM
**