I assume most of your products are fused on both wires? Also, the stuff off eBay often doesn’t get safety tested.
Long story short, if you have one of those reversed power cord cut it and throw it away!
95%+ of products available here are fused on one wire. UK has polarized plug which is completely different from the rest of Europe. UK plug also has internal fuse because they use ring wiring with circuit breaker which have higher current capability than single socket. We as most of Europe use star wiring with 16A circuit breakers.
Long story short, if you have one of those reversed power cord cut it and throw it away!
I could not care less about that. Plugs ar symmetric if used in our sockets. The exception it that plugs usually are universal with french sockets which are indeed polarized. The real concern is counterfeit cables with hair thin copper strands. I stumbled on such a few times.

FWIW, in addition to the French (type E) and Schuko (type F) which together comprise most of Europe, the Swiss (type J) and Danish (type K) plugs are also used in Europe, and those two are also polarized when grounded. (All four are unpolarized when using ungrounded plugs.)
If anything, the Schuko is unusual in allowing unpolarized grounded connections — almost every other grounded plug enforces polarity. (The Italian plug [type L] is the only other unpolarized grounded plug.)
It is not "terribly dangerous" or even "slightly dangerous" to have the neutral and live swapped in the cord. It doesn't exactly scream high quality but it's not a safety issue either. Polarized receptacles are a reasonably good idea and do offer a small safety improvement for some very old equipment like "AC/DC" transformerless tube radios but that isn't anything that will have an IEC cord. Virtually anything with that style cord is going to be designed for a world market in which case the polarity of the incoming power cannot be guaranteed. What would be "terribly dangerous" is designing a piece of equipment today that relies on having the correct polarity in the mains cord for safety.
A cord with reversed wires, or switching on neutral, is not dangerous if the device is properly designed and assembled. But is every device both properly designed AND properly assembled? No.
So yeah, is it
likely that a cord with swapped polarity will
cause a problem? No. But it can contribute to (as in, cease to prevent) a dangerous situation whose proximate cause is some flaw in design or assembly. I agree, it's edge cases, but still, why not take every precaution?