Not everything is an isolator!
The Cyrix-Ct is a VSR - a voltage sensing relay. Victron calls it a battery combiner, as that is what it does (when certain voltage conditions are reached).
The Orion is a B2B - battery to battery charger, taking DC from one battery bank and stepping it up into a suitable charging voltage for another. A DC to DC charger.
I don't know the LX system, but it sounds like a drop-in-replacement for a lead acid battery, in which case it internally regulates its charging and should work with either. Perhaps the supplier isn't aware of what the VSR does and just always recommends the one solution they know to be working (the B2B charger). Since it sounds like you're already in conversation with them, just ask why they insist on this.
It might be because the lithium battery has a very different discharge curve that may not trigger the VSR to separate until it is discharged. So it will work for charging but not separate batteries and keep the banks combined for too long when discharging. That depends on the exact voltages in play.