Moderator, Iberia Airlines, Airport Lounges, and Ambassador, British Airways Executive Club
Join Date: Feb 2010
Programs: BA Lifetime Gold; Flying Blue Life Platinum; LH Sen.; Hilton Diamond; Kemal Kebabs Prized Customer
Posts: 63,857
The process is very different, so no, your B visa won't be cancelled. That's a physical document, so while there are some circumstances when B and similar visas can get cancelled (e.g. due to another visa being issued in a newer passport) this would only happen after arrival in the USA, wouldn't happen in your case and isn't usually an adverse outcome. I have travelled to the USA on B-1 and A-2 visas without issue in recent months.
The reason for ESTA cancellation is about passenger flows and airline procedures in submitting API data to the DHS. Visas are different in terms of API data flow.