Personally I would NOT pull the pump if it wasn't leaking.
The issue is that you can end up creating more trouble for yourself. Seized exhaust nuts lead to broken or stripped studs on the converters. I had one (of 6) nut seize on my rust free 05 TL, but luckily it just extracted the stud.
Another sketchy part is reinstalling the pump. You basically install it blind while simultaneously keying the oil pump into the crank and aligning two dowel pins. All the while praying your o-ring on the backside didn't fall out of place. There is no way to verify your o-ring or sealant application is good until after driving for a week or so and discover no leaks.
Also my engine is noisier after the job, which included all OEM timing belt,water pump, tensioner, etc. Whole thing just has me confused. Could be 1 of a hundred potential issues.