Just as everyone with P experiences different symptoms, progression, and reactions to medication, the same is true of undergoing an operation under GA. I have had very different reactions on coming around.
However, 3 years ago OH underwent a major operation; was able to take their levodopa with a small sip of water last things before going down to theatre and as soon as they were awake enough when they returned to ICU. They missed just one dose. It might be more problematic now as they medicate every 2 1/2hours.
One thing I would certainly do is discuss the different types of anaesthesia and pain relief with your Parky consultant beforehand. Some restricted pain relief medications, (the ones that are administer from a locked box, mostly opiate derivatives), may be contraindicated.
OH did take a very long time to recover but after 3 months was back to his pre op self.
Recently he had a dislocated shoulder and, as the situation, (8 hours in A&E) was so stressful I didn't think to mention that he should not be given morphine. His P deteriorated considerably for a few weeks and when I spoke to the PSN and consultant they suggested that it was a combination of shock and the pain relief which caused this. Of course, nobody can say that it was definitely the pain relief that set him back for a while but, once again he is over it.
An elderly lady of 86 that I know recently had a knee replacement with an epidural and a drug to deeply relax her. She remembers nothing about the op.
All the best.