In my experience, no.
I have a U1 with off the shelf ETA that runs about a second day slow. My Omega Seamaster master chronometer is 3 seconds a day fast.
The tolerances modern movements are designed and made to, mean chronometer ratings are just a marketing tool. If adjusted the movements can achieve incredible accuracy. Most quality watches will run within or close to chronometer spec these days.
The only ‘quality’ watch I have had an issue with was a SBDX01 MM300. When I bought it, it was 15/20 slow a day. So off it went for a service at Seiko. It’s now amazingly 0.5 seconds a day slow according to my twixt app.