Once I had the same problem with Hi-Lo Systems ALL-03 programmer. They had refused any help or software up-dates. Though that programmer had option to program AT89C55.

Then I took the the datasheets of both chips, made a simple logic circuit which provided the 5th control signal, and used a 12 V separte power supply to get 6.5V (needed to program WD version) and believe me, now I can program At89C55WD using the algorithm for AT89C55.

My poor programmer still does not know what it is programming.

Soon after this alteration, I bought MicroMaster LV48.

PS: I don't recommend this method anyway. Just shared my experience.