Bubble Blaster pumps are some of the best pumps in the market so going from a Bubble Blaster to a VarioS pump would be a lateral move in terms of just water injection efficiency.
If you are also looking for more controllability and ability to connect the pump to a 3rd party controller to lower or increase the speed then yes, the VarioS pump would definitely be an upgrade and would allow you to do what you need.
Most hobbyist that have been in the hobby for a long time DO NOT shut off the skimmer when they feed the tank. The skimmer will not pull the food out of the water in large quantities to make a difference. In reality, skimmer pumps do not like to be turned ON/OFF. They perform better when they are left along working 24/7 and only turning them OFF when you perform your regular maintenance.