Calculations by calculations and life by life. In blocks from 70 years, maintaining a constant diameter along the length from the fuse to the socket is almost a miracle.
As a rule, it is not just one cable, but only joined cables that "fly" from socket to socket and at each socket it was crimped and probably bent many times, which influenced its structure. (In the case of my block, the sockets served (and do) the function of cans and the cables were not screwed together there, only the so-called "twisted snout")
Coming back to the topic: will it hold on? The unknown - risk is fun.
Someone suggested connecting, for example, a kettle. Good idea - only after plugging in this kettle you have to walk around the sockets at home and smell them and check with your hand whether they are warming up (I had such a case after about 10 minutes of heater operation, the sockets started to melt "on the way").
However, in the socket blocks they did not put a cable thinner than 1.5 mm (as I remember correctly, even 2 but ... builders could save) So let's assume that after bends and other bizarre connections let it be 1 mm, then with further simplification it will give about 1700W . And with this power, in my opinion, you can safely burden this network.
Second thing, the original fuses in the house from the 70s were designed for 10A and they were to protect the network, so shortcuts 220V * 10A = 2200W
The condition, as mentioned above, that the chain is as strong as its weakest link, if there is a "narrowing" of the wire somewhere, it will ultimately work like a fuse, turning off the power (trouble finding such a "fuse"). On the other hand, if there is a bad contact, the connection may heat up (which may ultimately lead to fire).
Anyway, until you check it out, you will not find out.