Yeah.... no. I tried this for THREE fans, and I obliterated all of them (The plastic part behind the fan would always break, rendering it impossible to remount the fan ever again)
Shrugs. You must be prying wrong. The parts I pried apart were pretty solid and were in no danger of breaking.
They simply do nt want to come off. I tried inserting metal rods in 3 equidistant spots between the mounting plastic and the PCB (these 2 things are linked together) so I have a means to apply equal force when prying the fan itself away from the electrical part and the spindle inside without tearing up my hands from the mounting plastic.
I even tried prying between the pcb and the fan itself, and it threatens to break the solder points from the copper coil inside the fan, or break the PCB itself.
Maybe you are lucky and have "compatible" fans that are meant to come apart. All I know is my fans won't ever come apart like you describe intact. I even tried one of the youtube videos where a guy takes apart a blower-type vga fan in the way that you described, but it's just LOCKED in place, as if there are 1-way teeth inside that will let you insert the fan, but not take it apart.
edit: I was right. I destroyed another fan to the point that I could use pliers to get a firm grip of the pcb-like area and finally seperate the fan from the electrical part with a TREMENDOUS amount of force. The metal rod inside the fan had a cut/depressed area and the electrical part had these teeth (which I broke after successfully prying apart) that sits in this depressed area and normally prevents one from prying the fan away from the electical area.