In theory there isn't anything to go wrong on a well-made beam wrench unless it's massively over-torqued; any offset at zero is most likely due to the pointer being dinged rather than yield of the torque element. As you say, clicky wrenches can be dangerously finicky unless maintained and calibrated.
If there are a number of torque wrenches in a workshop they can be checked roughly against each other. If one is massively out it probably needs recalibration.
True; and in a good workshop (that doesn't abuse them by dropping them etc.) they're likely to be used often enough to stop them gumming up. For home mechanics that only torque stuff up once in a blue moon the breakaway torque can be significantly off.
In theory there isn't anything to go wrong on a well-made beam wrench unless it's massively over-torqued; any offset at zero is most likely due to the pointer being dinged rather than yield of the torque element. As you say, clicky wrenches can be dangerously finicky unless maintained and calibrated.