Reviving this old thread for anyone who might benefit from my experience.
My 2007 ES350 recently had the no volume control problem (Broken volume control). Had same problem on another even older car, and same symptoms on my friend's Highlander. Searching the Web, found two solutions. The basic problem is corrosion on the contacts inside the volume control, perfectly normal / typical problem you'll see on most any older audio equipment, not a Unicorn, not Lexus specific, something your local friendly dealer has probably no idea about - other than replacing the radio for 3-4 figure price. Phooey!
Fix #1 is, while radio is turned OFF, rotate the volume control 30-40 turns clockwise, and same counterclockwise. Try the radio, if fixed, great, if not, try it again a few times. This will *often* get the corrosion off, and your volume control will work fine - for a while. Fix #2 is a longer-term solution, again, you want to get rid of the corrosion, what you need is a small spray can of "Contact Cleaner" Contact Cleaner @ amazn that will wash off the corrosion - How to use it is explained in this YouTube video: HERE
BTW.. Again, this is not Lexus or ES350 specific, both fixes will work on other radios, make of car does not matter. Hope this helps, it worked for me.
Use Fix #2 at your own risk / digression, I'm take no responsibility for any damage that might occur, just passing on my experiences.