I can fully appreciate that you want to understand your watches more as they are clever little things.
If you just want to talk to a watchmaker, you don't really need any more information than any other casual user. I see, though, that the watchmaker you use asks you to source parts and try and find out why some things don't work. I suppose it makes sense that if you stick with that person, you build more knowledge to help him/her but it would be easier to find someone who understands the way these work. I remember a 613 date quickset you had where the watchmaker had not engaged the pin so, it couldn't work. No parts were needed, it just had to be assembled correctly. Was there a Zodiac as well?
The thing is that if your trained watchmaker can't identify and solve these issues, it won't be any easier for you. You could end up introducing long term issues with wear if you don't clean correctly as well. You won't know that until the next service when you find lots of worn parts.
De Carle is light on theory in that book but, he shows all the parts of a 30 series Omega (I think) so, it covers the strip and inspection of a basic movement without any complications so, you would learn something. Be careful of YouTube videos as they are not peer reviewed so, are often littered with errors and bad procedures.
I doubt you'll ever save any money at this. The expense in time and equipment runs so high that servicing your own watches will cost far more than paying someone else. You clearly have an interest so, why not build an ETA 6497/6498 watch yourself? You can source the movement, dial, hands, case and so on. Then clean, inspect and rebuild the movement making some adjustments as you go - I think you'd find this rewarding and remember that 6497/6498 parts cost about 10% of those for a fifties or sixties Omega.
The 30 series or ETA 6497/6498 have everything that you see in the base movement of any sixties Omega (more or less) so, that would give you an understanding of the basic movement. Then you start to look at complications: central sweep seconds; date; automatic; day; seconds only chrono; seconds and minutes chrono; seconds/minutes/hours chrono and so on. That would be a long way in the future though if you want to understand everything as you go.
Like I say, for your good watches, it will be far easier and more cost effective to build a relationship with a watchmaker who understands these things and keep this as an interesting hobby.
Good luck, Chris