FWIW - you can make the older stock chips work like toggling CCs by setting BOTH CNT 1 and 2 to the same CC# with the Value of CNT 1 = 0 and CNT 2 = 127 (or vice versa. The first press sends CNT 1, the second sends CNT 2, third CNT1 etc.
However, since you're essentially using a PRESET, the LEDs do not change, and selecting a different PRESET causes the first one to forget its last sent value (ON/OFF status).

UNO gets around this by creating switches that work like Stomps, can be used in combination and remember their ON/OFF status.