The vast majority of pilots that move to Monarch from easy are FlexiCrew F/Os. To my knowledge only a handful of pilots (if that) has ever moved from Monarch to easyJet.
The conclusion must surely be that, other than for FlexiCrew, each respective group within the two companies on permanent contracts must be reasonably happy with their lot? They are both good companies to work for.
By the way, despite the press continually getting this wrong, Monarch has been a mostly scheduled carrier for the last 10+ years and is simply completing the transition to fully scheduled flying. During that period it has competed very successfully with easy and Ryan on its core routes, and there is absolutely no reason why it cannot continue to do so in the future, particularly with the order for 30 new aircraft.