I know that at least some of the KBR "integrator" personnel were in fact from DML, who while they are good blokes have next to no idea about building big surface ships. If used as an alternate to Big&Expensive orthodoxy, this was probably a good idea, but not entirely conducive to good company relations.....Whether DML / KBR survive as independents in the upcoming shenanigans over Subco is another story.
As Navaleye says, the CV option makes far more sense, but for MoD to change horses will require some form of upset in the Dave B programme to pin it on. Believe it or not, the CV designs for the UK ship included getting MacTaggart Scott to dust off the old BH6 steam cat and DA2 arresting engine designs as C13 info could not be easily sourced from the US. However, I suspect the bigger risk to a UK cat n trapper would be the in-service support of those type of systems.