Has anyone encountered this strange rule anywhere?

[Patrick del Poker Grande]

First off, this guy is nuts and this is the most retarded thing I've heard in a long time.

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I am strongly suspecting that the organiser has actually seen this rule in Limit Hold'em (where over half a bet all-in must be met with a full bet) and that it is not used in NL Hold'em anywhere.

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Second, this is not how it works in limit hold'em, either. You could either call the actual amount of the bet, or depending on the room, complete the bet or raise (or fold, of course).