Well when you open up secondary carbs, you momentarily create a large vacuum leak and it takes a second for the fuel to be pulled through the venturi. At that point you need a small shot of fuel to keep from having a flat spot. I wouldn't delete the accelerator pumps. By the way, I drove a 58 Impala with tri-power for about 7 years. It was my daily driver. I was young and couldn't help but open those secondary carbs. I had a home built mechanical linkage.
I had a tri power set up on a 400 pontiac that the end carbs had non working acc pumps and every time the end carbs opened it would go lean and pop back through the carbs.
I would think you'd need the extra enrichment when the secondary carbs open up. You can always tune the secondary carbs by changing the position of the accelerator pump push rod (to the inner ball - which reduces the stroke and volume of fuel). Given that there accel pumps don't pump a huge amount of fuel (thinking modern Holley 4-barrel with dual accel pumps) - I can't see the additional fuel squirt hurting you at all.
Also, there is another additional issue that you should consider: When you remove the accelerator pump mechanisms, you have also gotten rid of the full-throttle enrichment system - which uses a mechanical valve in the bottom of the fuel well that is opened when the accel pump push rod pushes against it. This could potentially cause a lean condition under full throttle - which is about the last place you'd want one!
I cannot imagine any scenario where removing the accelerator pump would be a good idea, none at all….. And as Bored says, that also eliminates the power valve which is a bad idea as well. If you are determined to do it I would up size the main jets a couple sizes which would help but would lower you miles per gallon (which is already going to be terrible with a tri-power. I would not waste my time even trying it and since you will be introducing a whole new set of variables as well (getting a tri power working properly is a PITA anyway).
And if you did want to try it, don't remove the accel pump plunger - just remove the leather "cup" that plunges down and pushes the fuel out the tubes. That way, the plunger rod is still operational to actuate the power-valve - you just disabled the accel pump itself and not the power valve. I would not do it anyway . . . as I can see no advantage at all!