I always assumed the LW stood for "lightweight" - that is, they were of light alloy construction - and would therefore distinguish between simiklar looking units such as class 108 (lightweight) and classes 107 or 114 (heavy weight). There were some routes, such as the Cumbrian Coast, where the latter were not supposed to go.
Indeed, LW meant lightweight. I'm sure that the restriction on tail loads was in one of the Appendices and I'll try to find it later.
I have the distinct recollection that it was a 'panic' about 1968 - probably their unsuitability proved empirically - and there was a rapid scheme to brand the affected cars. The fact that it was using a stencil rather than sign written supports that proposition.
The 79xxx units (Derby and Met Cam) at Cambridge shed were the ones I particularly remember and the conveyance of tail loads had been common on branches in East Anglia to cut down on trip working. They generally didn't mix with heavyweights there.
When vacuum-braked van trains were very common and formed a network, there’d occasionally be single first generation DMU vehicles in their consists to transfer them to/from works.
Additional reply
In the L.M.R. General Appendix (1972 version) there is the following instruction regarding conveyance of d.m.. cars;
Not more than two lightweight vehicles may be conveyed 'dead' in a train and they must be placed together at the rear of the train. Lightweight vehicles are indicated by the letters 'LW' painted on the vehicle ends.
I always assumed the LW stood for "lightweight" - that is, they were of light alloy construction - and would therefore distinguish between simiklar looking units such as class 108 (lightweight) and classes 107 or 114 (heavy weight). There were some routes, such as the Cumbrian Coast, where the latter were not supposed to go.
Perhaps the reason was that the lightweight stock was 57' against the 64' 6" heavyweight stock. Somewhere there's a list of restrictions on routes for specific types of coaching stock, but I can't remember where it appears.
I have the recollection that Derby stuck to 57' to avoid changing jigs, a bit like they stuck to 8' + 8' 6" for coupled wheelbase from about 1872through to the 350 shunters
