From the Function Reference manual:
"The transceiver cannot enter Self-programming Mode since the Self-Programming Mode function is not available for a transceiver having firmware version T4.10 or later.
From the Function Programming manual:
"This function is not available for a transceiver having firmware version T4.10 or later.
There is some difference between the "T" and "F" firmware, but I'm not entirely clear what it is. It looks like it has to do with P25 trunking, and there is some mention of "Self Programming". From what I can find, F4.10 supports self programming and T4.10 does not.
I think a call to Kenwood tech support might be in order if you want a reliable answer. I can usually find the stuff in the manuals, but I'm either too tired, or I'm not finding it.