
When its busy at airports you always have to give push back to aircraft as soon as they pop up because they get overridden by ready to taxi, contact departure and on finals voice commands they’re bottom of the list. Having these as the same priority would not only help but improve the immersion too.
Honestly, when situations are hectic enough where this comes up, getting aircraft pushed back is near or at the bottom of my priorities. When I do get around to them, I like to do a bunch of them at once, rather than interspersing one or two between issuing taxi and clearance instructions.