Lawrence, I think you are overstating things here. From what you say it would be easy to think that the mount ended up nowhere near where you ask it to go, for example instead of pointing to a star in the Pleiades it goes to the Hyades.
This doesn't seem to be the case, the error you are talking about is small, something like an arc minute. About the size of M57.
Buggs, You will be better going to Celestron to discuss their pointing accuracy with them. I don't think it's my part to say any more here.
Your expectations about what a medium priced mass produced mount can achieve may be a bit high.. An arc minute is pretty good. There could be all sorts of reasons for this.