I've never played through a tone hammer but have owned a couple of Sansamp BDDI pedals over the years. The Sansamp is a great preamp and DI (though I did find myself wishing there had been a "mid" EQ control), but like I've found with most bass amp simulator pedals, that function works better when you're playing a Fender Precision or Jazz bass. You might be able to dial in a drive tone that you like with a Starfire, but it won't sound a whole lot like an overdriven SVT.(which was the aim of that pedal).
I think with any kind of emulator/voicing kind of function, pedal manufacturers have to work within certain limitations. There's just no way to make a pedal sound and respond exactly like a 90-lbs tube amp head, so they have to pick a starting point, and it's safe to say that the vast majority of their customers will be using a Precision or Jazz or some kind of related design. As a result, I think when you come at the pedal with a big billowing, broad-frequency signal like Bisonics put out, the pedal starts to act a little less as intended. Of course, nowadays there is quite a variety in the flavors of Bisonics and it's quite possible that the NS reissue pickup falls a little closer to a traditional Jazz bass type of signal. Though you're still on a short scale with a pickup in the far neck position, so that will still bring a good bit more low end to the party.
Curious to see what you think