A membership filter can change what status goods communicate

A signal is informative about an attribute when observing it helps distinguish among possible values of that attribute in the relevant population. Its purchase price does not determine how much new information it supplies.

If admission to a group already selects on the attribute an object signals, observing the object inside that group can add less information than observing it outside. This is a conditional selection argument, not a measured claim about every private club or affluent audience.

The comparison group changes the information

Take a hypothetical group that admits only people who already own a specified object. Learning that a person is a member establishes ownership under that admission rule. Seeing the object afterward adds no further information about whether that member owns it.

The same observation can be informative in the wider population, where ownership is not universal. The object has not changed; the prior information about the person has.

Less extreme selection need not eliminate information completely. It can narrow the variation left for a cue to distinguish. The relevant question is what the audience already knows and what uncertainty the additional observation resolves.

Saturation concerns an attribute, not every possible meaning

In signalling theory, a pooling outcome does not separate types through the pooled signal. Applying that reasoning to a group requires specifying the attribute being inferred and the behavior shared by the members.

If everyone carries the same costly item, possession alone cannot distinguish members on that possession. The item could still serve another function or communicate another feature through its condition, use, or context. Saturation of one ownership cue does not prove the object has no utility or no possible social meaning.

Nor does a cheap deviation automatically become a superior signal. Its interpretation depends on the audience and the alternative explanations for the deviation.

A private-club label does not establish wealth selection

The US Title II private-club exemption turns on an establishment not being open to the public in fact, with the stated exception for certain facilities made available to customers of covered establishments. That legal test does not specify that admission selects on wealth or a particular possession.

A legal classification and an empirical admission filter are therefore different facts. The conditional argument applies only when the relevant selection mechanism is actually established.

Cost is not a sufficient explanation of information

Formal signalling models also distinguish signal cost from the condition-dependent trade-offs that can sustain honesty. Those models do not directly measure human luxury behavior. Their narrower implication is that cost alone is not a complete theoretical account of informative signalling.

For a membership setting, the analysis retains the admission conditions, the inferred attribute, the cue’s distribution, and the audience’s existing information. An expensive object can remain expensive while supplying little additional evidence about an attribute already established by membership.