it was present while the other accessory drives had no play.
It was the absence of any detectable play at the other accessory drives and the presence of play, admittedly not much play, that helped convince me the water pump was bad.
That I guess for better or worse is my definition of any play. Any play detectable by hand testing and any play that is not detectable in the other drives but is detectable in the water pump is "any play".
As I mentioned before, the play was slight enough that I had to first try the other accessory drives then the water pump and did this more than once but the water pump was the only drive that had any play.
However, I was not condemning the water pump on play alone.
I would not have even been at the water pump had it not been for the noise - a low volume grumbling noise that got worse as the engine got warmer -- that prompted me to investigate for the source of the noise.
The first step was to remove the belt and confirm the noise was not coming from inside the engine. It was not. This then prompted me to look for an accessory drive with play. Sorry. But they just do not should not have play. I can't explain this other than to suggest while you have the theory that there should be play the theory has a flaw in it somewhere.
The condition of the new belt (just a few months old) added weight to the decision the play was not right. The inner belt edge was sharp from rubbing against the water pump pulley's side. The outer edge was dull and felt just like the old belt's two edges so I was comfortable with the feeling the sharp edge was another sign of a problem.
Last a close inspection of the water pump found anti-freeze residue on the casting below the shaft. Noise. Water pump play. Belt rubbing. Coolant residue. Water pump was replaced.
(As an aside I found out much later some dry residue is ok. But the techs told me there should never be any wet coolant present and even the size of the stain is important but would not tell me the acceptable or unacceptable dimensions.)
Now this was not the first time I was up close and personal with the belt and the water pump. While I can't recall it I am pretty sure -- it is just second nature to me -- when I replaced the belt just not more than a month or two before this I checked the water pump and other drives for any signs of play. Also, I checked the idler rollers and tensioner roller for any thing amiss.
And the time before that (the first time) when I replaced the belt I admit I can't recall what the water pump felt like then either. However, my training is that water pump plus play equals bad water pump so had I felt any play at the water pump I would have probably consulted with a tech about this and taken his advice. As it was there was no play so I just replaced the belt.
Let me speak about play too. I didn't use any measuring tool, dial indicator, to measure the actual amount of play. That play was present was determined based on feel. But as I mentioned it was not a large amount of play and I had the other accessory drives to use for comparison. But I was working on the assumption that no play was the norm, which I have to say again was the case with all the drives other than the water pump.
As another aside as a machinist I could spot run out of just a few thousandths of an inch on say a part chucked in a lathe. I had more than a little experience from having to chuck uncountable number of parts in the chuck over time. My employer considered it unfitting for a machinist to have to use a measuring tool to get a part chucked to within a few thousandths of an inch if the part didn't have to be chucked more precisely. But I couldn't resist at least double checking my work -- at first -- and sure enough by eye I managed to get the part runout down to just a few thousandths of an inch. My point is that by eye or by hand there is a limit to how much one can see or feel in this case feel regarding play.
But maybe had I more precisely measured the play of a new water pump and the accessory drives with a sensitive dial indicator might have found play below which my hands could not register. This might be the play you refer to, the play that you believe has to be there.