It would be really useful if you could read the current with an oscilloscope as the pressure switches are turning on and off.
However, that might be difficult, and devices like that pressure switch are really not designed to be turned on and off with similar devices.
I suggest that you reverse the direction of operation of the relay, and the pressure switches, and connect the two pressure switches so that they are permanently powered and so that either can operate the relay.
As far as I can see from the instructions of the pressure switches, you can change their operation from normally open to normally closed by lots of button presses from the front panel. The relay can be changed by swapping the wires on 2 and 4, and moving the wire from 5 to 7. You should connect the 24 V power to the brown wire on both pressure switches, and both black wires to the connection 8 on the relay.
The logic should be the same. Instead of operating the solenoid when both switches operate, you are turning off the solenoid when either switch doesn't operate, which comes to the same thing.
It would also be possible to add another relay, but I would not be turning the pressure switches on and off.