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I am an electrician, but have only been working as one for a year or so. I think there's also some weird technicality about giving advice as an electrician - essentially I should be telling you straight up to get an electrician and any advice I give out I am liable for etc - so ignore everything I say and get an electrician of course.
My issues would be that you'd have a load of sockets on a single 13a fuse - which most likely would be fine - but it's just a bit crap. I really don't understand why you wouldn't put a small shed DB in, with an RCD, a 6a lighting circuit and a 16a socket circuit. You could in theory have the lights on a 3a fused connection and the sockets on a 13a one, so if the sockets fuse blows, the lights don't go out etc. But honestly it's £30-50 for a 2 circuit board with RCD and it isn't really any more work than using FCUs.
Edit: I also haven't seen your shed, so maybe my mental image of the install is greater than the reality.
That’s what I’d envisioned as a workaround, but it’s not ideal in my eyes. Can’t say for sure if it’d need an earth rod - that’s down to what your Zs readings are (making sure the resistance of the circuit in an earth fault condition is low enough to trip the breaker within the required time - more resistance = slower trip time).