I think that polishing after a full service is the ideal solution. You've updated the inside of the watch, so it makes sense to give it a fresh look on the outside. That's what I did with my watch, and I turned to watch renovation Expertyco
https://expertyco.com/polishing-restoration/. They call this process the finishing touch after servicing. The craftsmen remove scratches, restore satin or mirror surfaces, and clean the bracelet with ultrasound. All this is done as carefully as possible, without losing the shape. As a result, I got a watch that looked and worked like new. I was even surprised at how pleasant it was to wear it every day again. If you want to regain confidence in your accessory, then go ahead and agree.