As far as PCA goes, I only have experience of the ubiquitous Graseby 3300s (never got my hands on an Omnifuse PCS sadly) - other pumps may do things slightly differently.
With the 3300, you get the same beep from every button press, I guess just so the patient knows it was acknowleged and doesn't lie there pressing the button harder and harder. And yes it does record how many requests, and how many were actually given.
As for ECG, the main problem I get is phantom lead faults. Incorrect / upside down paper is annoying, but not what I would call persistent (of course, larger hospitals may be more prone to it simply due to there being more equipment, therefore more opportunity for it to happen).
However, since you're asking specifically about that;
The incorrect paper seems to stem from the fact that while most units take (or can accommodate) the same size of paper, the page markers vary - it might be a hole, it might be a small black patch, positions may vary. Now, if manufacturers would agree a standard, that would be ideal, but that won't happen. They want you to buy their paper, after all.
Besides, it would take years for that to trickle down and replace all the older machines with their many different ways of determining where the next page starts.
Standardising on one model within a hospital would help, although obviously it can't prevent the wrong paper being ordered. But equipment replacement is piecemeal at the best of times, and is often dictated by who will give you the best deal, so you end up with a smorgasbord of stuff.
As for upside down paper, to me that's a training thing. If the machine doesn't immediately give the expected result, the operator should maybe check one or two things before picking up the phone. Maybe that's a rather optimistic viewpoint though...