It is not the same in the US. The only currency requirements for Part 91 (private) aviation per the FARs are the landing currency requirements (only needed for carrying passengers), IFR currency [if intending to fly IFR], and the BFR.

Landing and IFR currency: https://www.law.cornell.edu/cfr/text/14/61.57

BFR: https://www.law.cornell.edu/cfr/text/14/61.56

So per your second link, our laws match, only that instead of the checkride we have to do in Europe, you have 1h of "ground training" review with a qualified person?

You have to have an instructor willing to gamble his ticket on you not crashing stupidly.

Other than that, there’s no minimum hour requirement.