Anythings possible with cars
The air would compress, which could cause an issue. Whether that would throw a fault, i dont know enough about the systems to know.
An actuator / valve is what usually goes. So the pump wont be able to control and divert pressure where it wants.
Air can cause issues in the modulator, its why most have a bleed procedure. In a non active state, the modulator is doing very little (on an old car like this) its when traction and abs start kicking in, it works its magic.
To the OP.... does the car actually stop fine? The creeping pedal when running is normal. More pressure on the pedal after an application isnt uncommon, depending on pressure built up, how fast you reapply etc. Im wondering if there really is a fault, or if this a placebo.