Your explaination isn't clear, but you appear to be referring to exiting the runway when your cockpit partner applied brakes and aft column pressure (as opposed to simply making a turn when taxiing).
Applying full aft yoke isn't really "accepted" or proper technique in a light twin, but it's common. It's appropriate in a conventional gear airplane (tailwheel)...but doesn't have much value in a nosewheel multi engine airplane (especially at taxi speeds).
For a turbojet airplane, holding the nose off during landing or applying aerodynamic braking is generally far less effective and of negligible value than the use of brakes and reverse thrust. Additionally larger airplanes tend to have significantly more effective brakes, often using multiple wheel assemblies, multiple disc assemblies, and more pistons in the brakes than a light reciprocating powered twin.
Applying aft yoke in a turbojet airplane doesn't do much at all at low speeds. At higher speeds, it may reduce nosewheel effectiveness.
Particularly for swept wing airplanes (still applicable to the citation with it's straight wing, but less so), getting the nose down on landing kills lift, enabling better ground control, reducing susceptability to crosswinds, and increasing brake effectiveness and nosewheel control during landings or takeoff. Holding the nose off, then, isn't of much value unless the aircraft has a very long runway, weak brakes, and no reverse. Using aerodynamic braking by holding the nose off is the least desireable method of control, and the least effective. If done during takeoff, it's detrimental.
Early rotation or applying back pressure during the takeoff roll can substantially increase the takeoff distance, delaying acceleration, and reducing nosewheel authority.
When slowing to clear the runway, applying back pressure is moving a fairly small elevator back there...and has little leverage or effect in doing anything to the airplane to slow it down. If one is aiming for the high speed exit, one is better off using reverse a little longer, maintaining brake pressure, and pushing forward or using neutral controls to increase or maintain nosewheel effectiveness.
When you see someone in a Citation pulling back and stomping on the brakes as they exit the runway, you're seeing someone who has brought some useless or bad habits with them from their earlier flying, and doesn't understand the principles behind what they're doing. That said, as in all things, old habits die hard.