I have been growing for a long time now without obsessing over pH in soil or using pH Up, and while it is living soil with dolomitic lime and azomite or excelerite, I am willing to bet that enough people use dolomitic or garden lime with synthetic nutrients in potting mix as well. It works long term and as a bonus supplies Ca or Ca\Mg in the case of dolomitic lime. You can also just mix the lime into the top of the soil, or mix up to a few tablespoons per gallon of water and wash it in. Lime is not very water soluble, hence why it works over time. Lime is dissolved as it neutralizes the acids in the soil and it continues neutralizing acids which are applied to the soil.
pH does change over time in the soil, but you shouldn't leave fertigation solutions sitting around for very long, especially organic nutrients (Earth Juice, General Organics, Big Bloom, etc.) use them as soon as possible. Some nutrients you can aerate to bring the solution pH up... without using pH UP. Check the directions for the plant food or look for at the products feeding chart. Some specifically mention that they don't require adjusting.