A-ha victory!! Problem solved
Rather than using bones to control the movement (which the Nexus converter doesn't like, apparently). I used null objects instead which is fine. After that it was just a case of setting up parent/child relations between the doors and null objects - lightwave can be an awkward critter sometimes
Thanks for pointing out that mesh, Geo. Although I can't reverse engineer it, it did get me thinking.
As for lightwave itself, yeah, it's quite far from reasonably priced I'm afraid. The latest version (11.5 I think) is something like $1400 USD. ouch