Like others here, my pump is betw. the seat and the side.
If I need it, well, chances are I'm already out of my boat! and if others need pumping out I can either use theirs or pop the skirt and retrieve mine (depending on conditions & which is easier). If conditions are rough or have precarious obstacles, the first order of business is to get the paddler away to calmer waters and then worry about pumping out.
Totally agree w. Deb about the efficacy of inverting the boat at the takeout - so much faster and easier than pumping out. I never use a pump for that anymore. It can also be done solo in deep water w. practice which, for me, means bobbing underwater and then kicking up w. enough force to bring the bow clear of the water (I'm a small person).
I have yet to use a boat w. an electric pump. My first thoughts were that it would add weight not always needed, and, to depend on something electric has its own disadvantages. The people I know w. an electric pump carry a manual bilge pump as a backup.
Again, conditions vary as do preparation, and my observation is not intended to criticize anyone's protocol.
My main paddling partner installed a non electric foot pump. When he capsized (intentionally)and wet exited, we did a T rescue. Then it was his turn to pump. It took a lot of repeated pumping motions to get the cockpit fairly clear of water (he has a Tempest 165 & is a compact muscular man). FWIW he thought it was pretty tiring to his right leg and it took about as long as manually pumping out. The advantage of course was "Look Ma, no hands!" and he could secure his skirt much sooner.
There are many ways to skin a cat or pump out a kayak.