I wonder which airline it is, and what motivates this. When I flew B738 it was normally nose heavy on load sheet trim setting. That, plus the dead-band just before unstick, contribute to 'hesitant' rotation rates. I was always taught, due to tail strike paranoia, 2.5-3.0 on all engines & 2.0-2.5 on engine out. The former was fine in reality, and the latter seemed to work in the sim.
Back to realty, and the distinct lack of balanced fields we operated from, I would prefer a smooth controlled continuous rotation in all circumstances, rather than the more rapid pull/push/pull one sometimes sees, especially on 50% grunt.