If, as is likely, the Olympic cricket tournament is a 6 or 8 team affair then USA should not be a participant.
Fancy USA taking the place of Bangladesh or Sri Lanka for instance. Cricket is their national sport and their only chance for participating in an Olympic team sport.
I don't think Greece fielded a team in hockey in the Athens Olympics so there is a precedent.
I recall that there was a real argument about GB participating in basketball as they were several levels below the 2nd weakest team.
I doubt that Australia would throw a major tantrum if they were excluded from the Brisbane Games Handball tournament