Yes they can seize and in effect become a solid pulley.
Yes also quite correct they are dampening load on the belt.
Short version: a running engine isn't ever actually maintaining a fixed speed. Instead it alternates between acceleration (when one piston is on the power stroke) and deceleration. If consider a single cylinder engine, the other three strokes are slowing the rotating components down:
intake, dragging the piston down, pulling air in through the open intake valve,
Compression: squashing the air mixture,
(Power stroke speeds it all up again)
Then exhaust, pushing the exhaust fumes out into the exhaust system.
Obviously a 4 cylinders has each piston firing at a different time and this shortens time between acceleration and deceleration. Nevertheless, engine IS accelerating and decelerating continuously.
Now imagine the auxiliary belt, driving the alternator (and other stuff, but ignore that for the moment)
Alternator needs to spin fast, so is often smaller pulley around half the diameter of the crank pulley.
So the acceleration and deceleration effect is doubled and the alternator is being asked to speed up and slow down quite severely.
This is hard work for the belt which drags the alternator up to the higher speed (high belt tension between crank and alternator) the suddenly, engine is slowing down and the fast alternator is now wanting to continue at its high speed. So belt tension between crank and alternator drops right off. In effect belt goes tight - slack - tight - slack endlessly.
Then the cycle repeats again and again.
So, the alternator clutch pulley allows the alternator to freewheel - just like a bicycle freewheel hub - and so it go faster when pulled along then freewheeling at higher speed (obviously it does slow somewhat as the alternator is turning rotation into electricity) but it decouples from the engine speed until it's slowed and the crank speeds up (and belt with it) to then "kick it along" again at high speed.
This obviously removes the tight - slack belt fluctuations.
So. Knackered pulley, locked solid, no longer does this job. Belt now again in the tight - slack - tight scenario again.
Net results:
Tensioner has a hard time and can often be seen dancing about.
Belt has a hard time and so more likely to snap long before it's expected life.
Seems a simple and almost unnecessary item, but clutch pulley has an important job to do.
Ok, will stop waffling, let me know if does not make sense and I'll make various excuses about autocorrect on the phone garbling my words for me!
Matt.