IMHO That coating has been worn off by cleaning , time to replace the optic. Even the slightest amt of stone dust on the lens , combined with lens fluid will create a very nice grinding paste.
There is a VERY specific way to clean lenses and mirrors , for mirrors you lay a piece of lens tissue on it , drop a drop or 2 of cleaning fluid (kodak lens cleaner) on the tissue and drag it over the mirror , NEVER scrub.
With lenses , buy PECPADS (lint free cloth squares) at any photo shop , soak the optic in lens cleaner and shake it around to dislodge ANY dirt and then pat dry with a fresh pec pad. DO NOT SCRUB.....
I do however think you might have 2 problems , motion system slop + a bad optic. Banding is not normally associated with a bad final optic , that would give you consistently even poor results and not "band"
Rodney Gold, Toker Bros trophies, Cape Town , South Africa :
Roland 2300 rotary . 3 x ISEL's ..1m x 500mm CnC .
Tekcel 1200x2400 router , 900 x 600 60w Shenui laser , 1200 x 800 80w Reci tube Shenhui Laser
6 x longtai lasers 400x600 60w , 1 x longtai 20w fiber
2x Gravo manual engravers , Roland 540 large format printer/cutter. CLTT setup
1600mm hot and cold laminator , 3x Dopag resin dispensers , sandblasting setup, acid etcher