So, I took a few minutes earlier this morning to record a video on how my crank pulley currently looks like when it's running. It seems like it's still in a pretty good condition. No obvious sign of delamination when I looked at it closely.
Here's how my crank pulley looks like when it's running (you may want to turn down the volume on your PC):
After a quick YouTube search, I found a video showing a wobbly crank pulley on a 2003 Forester:
I will keep an eye on it from time to time. When I do replace it, I'll replace both belts and the pulley altogether.
For EAT car, do I have to do anything beside putting the car in Park (P) mode to stop the crank pulley from moving while I unscrew it?
EDIT: It appears that I'll have to use screwdriver and insert it into a hole somewhere near the engine to stop the crankshaft from rotating.