Not entirely sure why dennis is prattling his usual tripe about ring circuits when the question is about travel adaptors - fused or otherwise.
Well lets say the multiway survives the sustained 20A load (the better ones might), and someone fairly clueless manages to cobble together 10kW of load all in one room at one time, and connect it into a pair of 4 way trailing leads. Then they plug them both into a double socket...
(obviously this is only ever likely to happen in dennis's house - but dear reader, for the moment, pretend its somewhere in the real world).
We will skip over the fact that there is not a double socket out there that will take 40A for long before it becomes bleeding obvious to all that something is not happy, and assume perhaps our dimwit has used a pair of sockets on the same circuit, and look at what will happen to the circuit...
The answer?
Bugger all really. If the sockets are right at one end of the ring close to the CU (which obviously they won't be because unlike dennis, competent electricians think about things like this, and use appropriate topologies for the circumstances), one cable may get a tad hotter than it ought. If kept that way[1] it will probably shorten the life of the cable. The more likely outcome is nothing exciting will happen.
Obviously that worries dennis, he would rather it all burst into flames for some reason...
(no doubt the millions of homes that have not spontaneously combusted due to non dennis circuit designs being employed, will in no way dent his belief since these numbers are obviously statistically not relevant)
[1] Obviously keeping that 10kW of load sustained is actually quite a challenge, but I am sure dennis can think of a way.
That would be a woosh...
Still apparently dennis is not going to argue with me any more (unless he was telling porkies yet again!) so we can enjoy the silence...