It seems that the neoStats are opperating standard 2 port valves, one for each storey? While they are probably designed with a UFH manifold in mind, driving a wax motor actuator or two each, Given that the
screwfix link reports back that some kind of self balancing actuator (not entirely sure what one of those is) can cause the relay to stick, then I expect a three port valve probably could, and its probably not a configuration they tested at design stage when they decided to use a very small relay for it.
I think I'd be sticking an enclosure with two DIN rail mount relays next to that wiring centre to switch the valve motors..... you shouldn't have to but short of trying to shoe horn a bigger relay onto the PCB of the neo stat or sending it back as not fit for purpose its a way to try and work around the issues with it