Exactly this. The plaster to the sides of the cut out is not supported, so very weak. It can be reinforced though, using timber battens, without too much trouble:
- Cut the hole out of the lath and plaster for the backbox with multitool (we're gonna use a steel BB).
- Cut a couple of timber battens, something about 2" X 1" should do. They're going to go inside the wall, vertically, to either side of the hole, and need to be long enough to extend beyond a couple of un-cut laths, both top and bottom. About 150 - 200mm long is about right.
- Reach inside the hole, and carefully pull away the plaster 'keys' from either side of the hole where the battens are to go. We want the battens to press right up against the back of the laths without being fouled by any bits of plaster.
- Now the fiddly bit.
- Liberally coat the face of one batten with PVA, water based gripfill, or similar. Maneuver the batten through the hole and into position vertically to the side of the hole, glue side pressed up against the back of the laths. Hold in place, and drive a screw through the plaster, through an un-cut lath, and into the top of the batten. Repeat for the bottom of the batten. You can put screws through the cut laths into the batten too if you like.
- That side is now reinforced, and will be about as strong as you can hope for in a lath and plaster wall. Do the same for the other side of the hole with the other batten. You can now fix the backbox in place by screwing through the sides into the battens.
- Filler over the screw holes and you're done.
This is exactly what I do, and it can work very well. The issue I find is on very old lathe and plaster, where the use of a multitool can disturb the laths, especially when nearing the end of the cut. If the lath shakes around enough, it can detach from the plaster over a long area, leading to the plaster becoming weakened and worst case falling off (depending on how much hair has been used, and what the condition of the wall is like). I get around this by temporarily screwing the reinforcing battens to the front of the wall once the plaster has been nibbled away, picking up the laths to be cut. This binds the ends together and stops them from shaking around. I find using an old drill bit to predrill the plaster helps stop it blowing out near the edges when putting the screw in.
Lath and plaster ceilings are another matter! If you have good access, then a thin plate of plywood glued from above and screwed from below (watch the tips of the screws, mind) before using a holesaw works very well. A thin layer of PU glue or gun foam works well as it creeps into all of the voids. If you don't have good access, good luck! The reinforcing batten method does work for ceilings as well, but is trickier to apply if the downlight cut out is small diameter, so it can be worth specifying downlights that are a bit wider than normal. The other benefit of using battens/ply is that the spring arms of the downlight have an even surface to rest on, and by being a bit higher than the back of the ceiling adds some extra tension.
At any rate, I find it takes longer to carry out work on houses with lath and plaster so tend to add extra time to the costs to reflect this.
Also, lath and plaster walls and ceilings are basically a collection of lots of lovely dry timber with plenty of surface area - metal backboxes with intumescent jackets are a good approach as are fire rated downlights and hoods. Might add a few quid per point, and could be considered overkill, but you never know who is going to fart around with that outlet in the future so I consider it a good investment.
The cardboard box/masking tape method is also a favourite of mine to catch debris falling from a wall, and can also be adapted using a square of cardboard folded up at the edges with a hole in the middle to produce a makeshift holesaw debris catcher you can put over the drill before fitting the arbor. Might not look very fancy, but does the job.