I had years of hideous pain before my extractions. I think dentists used to pull teeth all too often fifty years ago and now they are over keen to save them. it's as if the pendulum has swung too far in the opposite direction.
You do have a choice. If you feel that you can't tolerate the planing treatment, go to your GP (as I did) and ask to be referred to a hospital dental department.
I was booked in there for extractions under anaesthetic (twice, but it was not to be), attended, but (as hospitals just don't cater for claustrophobics who cannot tolerate waiting for hours) with bp too high, migraine/sickness etc. it couldn't be done.
I eventually had sedation at a dental clinic, teeth out, no problem and it only cost £50 (so must have been NHS) - well worth it!