The Laws speak of "Zonal Authority" only in stating that the ZA concerned is the Regulating Authority for its own tournaments. The Laws do not say anything about who these "Zonal Authorities" are. The WBF Constitution and ByLaws "divide the world" into five conferences, one corresponding to each of the "five continents". The term "five continents" is used several times in the Olympic Charter, but I was taught that there are
seven continents, and since I could find no clarification in the Olympic Charter, or on the IOC website, or on the WBF website, I'll take a guess that the five are North and South America, Europe, Asia, and Africa, leaving Australia, along with Antarctica, out in the cold.
The WBF ByLaws further say that the Executive may create more than one "zone" per continent. In fact there are currently eight zones, corresponding to Europe, North America, South America, Asia (so far, four of the "five continents"), Central America, "Pacific Asia", "South Pacific" and finally, the fifth continent, Africa. The ByLaws stipulate that the various NBOs in the zone will form a "zonal conference".
The term "NBO" isn't really defined by the WBF Constitution or ByLaws. It is, I suppose, one of those "you'll know it when you see it" things. It appears to me that "NBOs" are intended to correspond to the International Olympic Committee's "National Olympic Committees". If so, it seems to me they do it poorly (particularly in North America). There are some rules NOC's (and thus presumably NBOs) are supposed to follow.
What's really germane to the original question though is Law 80 of the Laws of Duplicate Bridge. This law defines the Regulating Authority, and specifies that the RA has the powers assigned it in the laws. For a club game, the Regulating Authority is, prima facie, the NBO in which the club resides. However, Law 80A3 allows the RA to delegate or assign its powers. In the latter case, says the law, the RA "has no further responsibility for their exercise". I would say that in the former case, the RA (the NBO in our case) retains its function as RA; in the latter case it does not. So a club can be a Regulating Authority
if (
and only if) The NBO assigns its powers to the club. I may be wrong, but I don't think the EBU has done that.
The RA may recognize a "Tournament Organizer" (TO) subject to the authority of the RA and the Laws. The TO has the power and duty to (among others) "announce regulations supplementary to, but not in conflict with, these Laws" (Law 80B2{f}).
As to the specifics of regulations regarding psychic bids, Law 40A3 says "A player may make any call or play without prior announcement provided that such call or play is not based on an undisclosed partnership understanding (see Law 40C1)". Law 40C1 says "A player may deviate from his side’s announced understandings always, provided that his partner has no more reason to be aware of the deviation than have the opponents". So Law 40C1
explicitly allows psychs. There is one exception: Law 40B2{d} allows RAs to "restrict the use of psychic artificial calls". This does not affect psychs of natural bids. Note that in general Law 40 deals with partnership
understandings, and a psych is explicitly
not a partnership understanding.
A regulation that prohibits psychs of natural bids conflicts with Law 40C1, and is therefore illegal under Law 80B2{f}. So the answer to your question, Jeffery, is that your club's rather imaginative approach is "just illegal".