A slight flicker at startup is nothing to worry about but the OP doesn't sound like a slight flicker.
I have seen it a few times in factories maintenance (

) have took a supply from a db (It had a spare way!

), some something like a bit extract fan or whatever, and they can't understand why the fluorescents start running all dim like lava lamps if at all!
Its because the supply cable was flat out, usually on a massive run and the added current pushed the volt drop over the limit, they need a bigger cable!
I don't recommend anyone going in a fuseboard when they don't have a clue!, we don't even know if he knows what a multi meter is yet, disconnecting earths from fuseboards is stupid as is neutrals!, its downright dodgy in some boards, if he did need to check the ring I would say at a socket would be much safer with all the electric off, at least he knows for def its the right wire!
Remember hes not doing a city and guilds he just wants his grow light to work

, my voltage in my house is 248 Volts they might have changed the number in the book but its just the same.
remember scraglor with no load on the circuit it will read almost the transformers voltage open circuit voltage, as the current is nothing theres no drop, it is to be calculated.
Measuring the voltage with everything on would be my diagnosis, but does he have the gear?, I doubt it.
i wonder if the downstairs circuit is the same, I would unplug as much as possible from that circuit maybe there is something sneaky on the ring main like the immersion heater or something.