Several months back I was in a parts store getting a full timing belt kit (belt, pump, tensioner) for a Dodge Neon. I struck up a conversation with another guy while we were both waiting for parts to come up from the back. It turns out that his daughter has a Neon and he had done the belt, but not the pump. About 10K later the pump bearing seized, shredded the belt, and he was still waiting to see if the head was destroyed, given that the Neon has an interference engine. Our conversation began when he wanted to warn me about this. I assured him that I wasn’t messing around with it.
In addition to the interference design, getting to the Neon timing belt is a complete PITA, requiring completely removal of the front (pass side) engine mount, which itself requires torque strut removal, and jacking the engine up and down to a seemingly destructive extent. The crank pulley is also a complete PITA requiring special removal and install tools. Add all of that up and I will do the pump every time.
However, the last time I had the belt off of my Escort I did not do the pump. First, it was not having any problem. Second, the Escort is not an interference engine. Third, getting to the timing belt is a complete piece of cake, with no mount removal or engine jacking or special issues with the crank pulley…etc. Finally, I do the work myself so going back in costs me nothing but time and I actually don’t mind doing it. There is still the risk of the pump seizing or something and stranding me, but I also have a road side service. And I will replace the pump - next time.
So anyway, the pump with the belt is a good rule of thumb. But there’s nothing wrong with deciding on a case by case basis. I’d imagine the Hyundai threads raised the issue. If the change interval on a belt is 60K and the cooling system has been maintained, and if I was doing the work myself, I’d probably do the pump on every other belt change (120K). I am paranoid about the tensioners and idlers though so I actually do those every time.