I would question that. It's not necessary to have an earth on all 240v appliances. "Double insulated" appliances or appliances fed by isolating transformers do not. (but may do for different reasons)
Also an RCD is different from an MCB. A Miniature Circuit Breaker (MCB) is the modern equivalent of a
fuse and, as you say, will trip faster. But it has nothing to do with earth trips. MCB's protect the wiring and appliances from excessive current flow in the event of a fault. They do nothing to protect the user. RCD's may be called earth trips as they sense unbalance between the live and neutral wires. Unbalance would occur if some form of leakage was causing current to go somewhere else - usually to earth directly or possibly through a person. So an RCD is for safety.
I've looked at an ad for the Clarke 1Kw and it does not say if it has a "floating mains output" But as you say it comes with an instruction to earth it I guess it does not.
Some generators do have floating outputs and in that case there is no live and neutral as such - just 230v between the two conductors and no voltage with respect to earth. Just like an isolating transformer. So, unless you get across BOTH those wires you cannot get a shock. If you do manage to that - perhaps while working on it while it running -then no MCB, RCD or anything else will save you. So, There is no need for an earth spike
If the generator has an internal connection between ONE of the mains wires and the frame of the generator then a "neutral" has been created. The other wire is now the "live" wrt to the frame and in general terms, to earth. In this case you will not only need to connect your generator earth wire through to your van earth circuits but you will need to provide a path to earth - a spike. This is needed for any RCD's installed on the generator or the van to work. Unlike the old days when the earth had to be low enough impedance to pass the whole fault current (until a
fuse blew) the spike only needs to pass the tripping current from the RCD - usually 30ma.
So it's important to know if a generator has a floating output - sometimes called a floating neutral - or not.