The US system sensibly uses 110-120V for most uses and then 240V where it really matters.
And... the plug really isn't that big at all.
E.g. [1] is a "Max 10A" power strip, so the cable would heat and potentially melt if a 15-16A load is connected.
[1] https://www.silvan.dk/produkt/stikdaase-m-ledning-4-udtag-u_...
But in France, the 16A shuko outlets are on a max 20A breaker, which means you can still overload a 16A power strip, but I guess there's enough margin there that the regulator considers that to be OK.
Although at least at my work we had someone come in and replace all the power strips with ones that have a 16A resettable breaker thing built in. So maybe I'm commercial spaces it's different.
Here's the larger one: https://www.bauhaus.dk/stikdase-u-jord-4r-10a-5-m-hvid
With an earth: (Danish plug) https://www.bauhaus.dk/stikdase-m-jord-3r-10a-5-m-hvid