The problem is that the VFO tunes backwards. The Heath counter, if I remember right, counted UP the crystal oscillator, counted DOWN the VFO and counted DOWN the carrier osc. But most counters count UP. You could mix the VFO with say 6 MHz and then count 500 kHz to 1 MHz with a "subtract 500kHz" on your counter, but the errors could be quite large because of errors in the crystal oscillators.
Really, I have not seen this. I have a counter plugged directly to the LMO on a SB301, it goes up in frequency when I dial up on the LMO. Trouble is I have a sheet on hand for the different bands so I can see what carrier frequency I'm on, it's a hassle. But I think I know where you are coming from. Mechanically the LMO goes up in frequency as the variable cap in the LMO increases. It's backwards. But you dial up on the LMO, it goes up in frequency.