I didn't plan to dismantle the board I bought. I just bought it so I could basically copy how it was put together.
If the board will fit, dismantling it is not such a bad idea. But obviously there is nothing preventing you from having a go yourself.
Since I have no previous experience working with a pcb before I thought it would be a good idea to see what was connected to what.
Good point. However remember that similar components (especially those with three legs) may have their leads in a different configuration, so you can't expect to be able to wire it up just as you see -- you need to check first.
What kind of issues would interference cause?
Snow on analog TV, total disruption of digital TV, noise on your radio and other audio equipment, etc. You may not get all of these (you may not get any), but then again, your neighbour might.
Another thing is that the mains is a very high energy source of power. Expect that if you wire anything incorrectly you are risking things burning out or even exploding, and certainly you risk fuses blowing or circuit breakers tripping.
Personally, you are also risking death. It sounds melodramatic, but mains can kill. This is at least partly why I have stressed that the entire device needs to be earthed as that will help protect others in the case of a fault developing after you have constructed the lamp.