LightwaveRF and all the other smart lighting solutions would work...
Yes and no. It would be possible to achieve the desired effect, sort of. I'll explain what "sort of" means in a minute. The reason I'm mentioning it at all is that I have some LightwaveRF kit which I bought for evaluative purposes but now have no need for, and it will get you more than half way to your goal if you want it.
With LWRF, and competing technologies such as Z-Wave (of which Fibaro is one manufacturer), you replace your light switch with a 'smart' one. (Like
this one.) I wouldn't consider that to be a 'wiring change' because you can do it yourself, it takes 10 minutes, and if you don't like it you can put the old switch back. It's worth noting however that LWRF switch plates are shallow and will almost certainly fit on whatever back box you have buried in the wall; whereas Z-Wave electronics are bulkier and probably require a deep back box which you probably don't have.
The smart switch doesn't get you very far on its own. It switches the light on and off (and can dim it if it's dimmable.) The next thing you need is to do something similar for the floor lamps. You can either replace the wall socket with a smart one (like
this one) - again an easy retrofit, and reversible - or you can use a plug-in smart adapter (
this) in the existing socket. Now you have both lights with smart capability.
The final pieces in the LWRF jigsaw are a multi-device 'scene controller' which can be configured to operate multiple lights (
this); a wi-fi link device that plugs into your existing router (
this); and an app on your phone (free download). The scene controller is wireless, so again no wiring changes for you. You pair the scene controller with the lights, and then when you switch on or off (or dim) using the scene controller they all come on or go off (or dim) together.
With this setup you also have a dawn-sensing and dusk-sensing capability, and a programmable timed on/off capability (eg to simulate occupancy when on holiday).
It's important to note that the main room light switch only operates the main room light, and the floor lamp switch(es) only operate(s) the floor lamp(s). So you can still switch them independently if you want. It's the scene controller that does the work. You can stick that on the wall wherever you like, or it doesn't even have to go on the wall. (It's wireless.) But if you were going to use it as a hand-held remote then you'd probably be better of getting a proper one (like
this).
(Z-Wave is slightly different. With LWRF, the switched tell the devices what to do but there's no communication in the opposite direction. So you can't interrogate a switch to find out if it's on. However Z-Wave does support two-way communication. So in principle you can set up the Z-wave controller to interrogate light switch A to find out how it's set, and then set light switch B accordingly. That might mean you don't need the separate scene controller device. But I don't know enough about Z-Wave to be certain.)
Anyway, I have all the components except the smart wall socket / smart plug-in adapter, (i.e. smart dimmer switch, wi-fi link, scene controller) and I don't need them because my evaluation showed that they don't quite achieve what I want to do in my home. I was probably going to eBay them after my house build is finished, but you're welcome to have them if they'd be useful. Maybe a token donation to charity? Let me know.