The irony of monopoly is that when broken upmitntypically benefits the former monopoly parts. Rockefeller Made more money after being broken up than he had as a monopolist. AT&T has underperformed since being reassembled from its post-breakup pieces, which had flourished with competition.
Is that's the case then why don't companies voluntarily break up?
There are plenty examples of public companies breaking themselves up for this reason. e.g. IAC breaking off Match.com and ANGI Home Services. Service Master breaking off American Home Shield.