I think having the wrong putter scale has bitten us all at some point during our time here. In most cases it causes a short term bout of swearing but shouldn't result in any permanent damage to your psyche.
Playing a tee shot with the wrong club has only happened twice to me, once the par 5 16th at Kiawah where I just cleared the water and once on BPB #3 which landed me in the heavy rough between the tee and green. Trust me, you don't want to go there.
What I often get is the wrong club is being shown but when I go to select the right one I find it already highlighted. The highlighted club and the one I'm being told I have don't match up. I hope this makes sense. I haven't ever tried playing a shot to see which club I actually have in my virtual hands, it always seems to happen during a round that matters.
Next time it occurs I'll grab a screen shot of it so you can see what I mean.