For an upcoming outdoor show, I've got a vendor asking for a connection for the plug that "fits all generators. ...........As far as I know, they need 120/240, it's for a trailer-mounted pizza sales operation, and he's probably talking about the smaller (<10kw) generators.
From your description, it sounds to me that he is referring to the larger generators. It sounds like he has a typical vendor trailer that travels to organized special events, and these are typically powered by commercial rental generators as I described above.
I could be wrong, but if he was referring to the smaller generators that could only service a single vendor, then he would most likely own his own generator instead of renting one at each event. (But if this actually is the case, then my previous answer does not apply, and I do not know what these units have for convenience outlets.)
Along the same lines as the commercial events, these events are typically supplied with portable power distribution equipment, and the vendor rarely plugs directly into the generator panel. Nevertheless, the same connectors are common. The most common connector in the field is the L21-20, but some rental fleets use L21-30 (even though it is a code violation for the applications). A generator panel may have an L14-30, but this is less likely to be available with portable power distribution equipment. The CSxxxx type connectors are available on both the generator and in single-phase versions of portable power distribution systems (a.k.a. spider panels).