Unless I want to R&R all of the baseboard in the kitchen and living room to raise it that 1/4"+, replacing just the section where we're painting is my only option.
That wall continues into the living room and the baseboard needs to match the height of the living room baseboard where they butt up. The living room baseboard essentially circles all the way around the living room (skipping openings, of course) and comes back into the kitchen and then continues around the kitchen.
If one of your clients asked you to replace a 12' section of baseboard in the kitchen, would you suggest that they R&R all of the base board on an entire floor just to get that 1/4" back?