No not being naive at all.
Your list covers the big obvious items and that’s half the battle. Where people usually get caught out isn’t missing whole trades, it’s that a few of the numbers are a bit optimistic once you’re dealing with an older Victorian that’s been neglected.
Roof at £20k could be doable, but it’s very much the lower end if it’s a full strip and re-tile. If there’s timber issues, chimney flashing, or the bay roof needs attention, it can creep up quickly. Until you know what caused the water damage and whether it’s been properly sorted, I’d personally be braced for more than £20k rather than less.
£8k for a rewire can work, but that’s assuming it’s fairly straightforward. Older houses often need more chasing and making good than you expect, so I’d have a bit of wiggle room there.
Bathroom at £10k feels reasonable if you keep it fairly standard and don’t start moving soil stacks around. Knocking the WC and bathroom together is common, but if anything structural is needed it can add a bit.
Kitchen at £20k is achievable, but it’s tight in London once you factor in fitting, electrics, plumbing and finishes. Any structural knock-through will push it up.
Plastering at £6k feels light if the house is being fully rewired and there’s water damage. That’s one area that tends to grow as work starts.
The other thing to bear in mind is all the smaller stuff that adds up - engineer, building control, steel if walls are load bearing, decorating, floors, and just general - we didn’t expect that.
Very rough gut feel, your £70k isn’t miles off in thinking, but I’d want to be comfortable closer to £85–100k so you’re not stressed if things crop up.
If you can get clarity on the roof and water ingress before committing, that would be a big one.