I am trying to work out what you mean by switches off all down stairs lights sorry if I have missed something.
1) When you move landing light switch back all lights come back on.
2) When you move landing light switch back and do something else as well like re-set RCD all the lights start to work again.
If you are re-setting a MCB or RCD then we are looking at something completely different to simply switching the switch back.
If it is simply the switch then I would assume there is a link wire somewhere.
if you look as switch J4 it will make no difference swapping brown and blue wire. (In yours red, yellow blue rather than brown blue and grey) but if there was a link from brown to other switch then it would affect other lights.
The left picture shows a switch with red, blue and yellow some where there should be a matching switch with same three colours.
If however it's a RCD tripping then I would guess you have a red wire in the wrong hole.
On the switch you show it has L, L1 and L2 for each switch. Often switches are marked Com, L1 and L2 or even L1, L2, L3. The L and Com must be in correct hole. If L1 and L2 are swapped all it means is switch works other way up but still works.