From your screenshot of the firmware in #124 I see a '?' icon at the upper right which usually leads to a 'help' area where the firmware version may possibly be, or if you can find an 'About' icon or menu item the firmware version may be displayed there.
I think we need you to try scoping pins 18 and 21 of the programmer's socket during a 'read' operation so that we can see if the correct signals are being sent to the correct pins for a 2532. Alternatively, you can try it with the logic probe if you can find +5V power for it from the programmer. What we are interested to know is which pin, pin 18(?), or pin 21(?), flips from low to high half of the way through the read operation.
For the purposes of this test only, the chip in the programmer's socket can be a 2732 if you have one, but you must still read it as a 2532. You may not need a chip in the socket at all for this test but it will make it easier for your scope probe or logic probe to make contact with the socket contacts if you do have a chip in the socket.
You will have to watch carefully because the low to high voltage change on the A11 pin (whichever one the programmer thinks it is) will only happen once every time you try a 'read'.