Broadway - sorry to disagree, but everyone is not a team player (gunners, lazy defenders, head cases, big egos, I could go on and on) - that's why team chemistry is so cherished because it is a difficult state to attain and maintain. Don't know your background in coaching or in playing travel team, varsity or above, but it is the rule rather than the exception that there are personality problems on most teams (minor or major problems.) When there are 15 players (12 year old or pros) or 50 football players or 60 track athletes---pick a number--there are constant issues. Let's look at the evidence around WBB. Look at transfers, friction with coaches, outside chaos, (Notre Dame had a Reimer issue), students are suspended, etc.
Diamond Deshields could be a great player and a nice kid, but she is not the same type of personality as Stewie, Nurse, or Jefferson.
To reiterate - I am betting that those 3 UConn kids will display positive behaviors at least equal to or greater than others on the team. IMHO Cox will see this in the 3 players and be drawn in rather than repelled. It could make the difference in recruiting her.