We all make mistakes, some more egregious than others, that's why we work as a team so we can review possible mistakes and correct them ON THE SPOT, after careful deliberation.
Coaches have LONG had the option to "request" an explanation about ANYTHING they disagree with, or don't understand, by simply asking for the Referee to REVIEW &/OR EXPLAIN any ruling. That discussion is intended to be held AT the coach's sideline (or when necessary SEPARATELY at EACH coach's sideline, in an ADULT & CIVIL manner.
If a correction is made (OR the Referee decides appropriate), the T/O is deemed an Official's TO. Neither coach should "be way out beyond the hash marks", under ANY circumstances. The appropriate way to alert the Referee about wanting a discussion is to simply ask the wing official on his sideline to convey that request to the Referee.
Should the decision be altered, or modified, and the capabilities exist, the press box and/or spectators can be advised of the corrections.