Well written post murcielagoboy, although some pictures would have been nice.
Service times really are a problem. I waited ten months (!) to get my 5056P back from a routine service. Originally was quoted 6 months, which I made me gulp, but what choice is there? I called at about 6 months to find out when they would be shipping and was told another month - it appeared that the watch had just entered the actual service queue. I called in a month later, and was told the watch needed some case work and would have to go back to Switzerland for that. About 3 months after that, the watch was sitting on my wrist. When the watch comes back, you almost forget how long it took. During that time, a friend also sent an annual calendar in and was told 6 months, so this doesn't seem to be a temporary condition.
Interestingly, the service receipt did not detail anything that was not on the original service estimate.
People often say, well, it takes time to do the work properly. True... once the case is opened and the work actually begins. The fact that it takes so long to get the work started means that there are not sufficient resources available to handle the work load. True, you can't just open up a new box of master watchmakers
but this is a "quality of ownership" issue that Patek (as well as many other brands) needs to pay better attention to.
Like you, I love their watches and have 3 (although no chronograph, unfortunately). And I also support your decision to get the case polished - it's your watch and should look the way you want it to. I also had the case polished on mine polished because there was some uneven scuffing that just annoyed me. It came back bright and shiny and delightful.
Here's a picture of the watch. This reminds me - time to wind and reset it and get it on my wrist today!
