Just took some videos of my trucks, which I thought I'd post:
My second truck's waterpump... How is this not leaking 0.o?

My second truck, start and run:

My main truck, start and run:


Also, how to bleed injectors properly(forgot to upload this before):

 

In your first video, the play your seeing is not caused by the water pump, thats from the bearings in the fan clutch getting worn, to check the water pump play you have to take the belts off to check it.

I don't know if I want to know this, but what on earth happened to truck number 2 with the wiring? Looks like someone went a little wire happy or something

 

No, that's the water pump, you can see the pulleys moving with the fan.

It just has a darn good seal, but you need to replace it unless you're not concerned about the radiator.

 

my trucks both have some play to, they have run a long time that way and one of mine water pumps has an intermittent knock, that doesn't make any sense. I think half your play it in the fan

 

Nope, it's all in the waterpump bearing(pulleys move for all of it).

 

you still need to pull the belts and check it before you get too excited

 

Uh... even *with* the belts, /the pulleys tip/. The V-belts aren't *that* tight.