Yes, Robert Carver absolutely should be disconnected from John Carver as father. In fact, the more common claim seems to be that Robert was a brother of John Carver, but neither is true.
Several of the earlier writers make the claim of relationship, but without any evidence. It seems these kind of connections were often made based on nothing more than the same last name. Unfortunately, these are the books which are out of copyright and available online without subscription. From there, the mis-information has been added to user-contributed data bases.
Another issue is Robert's wife's maiden name as Turner. User-contributed data bases are the sources on the Christian Turner profile, and William Jones calls her Christian _____ in his article for NEHGR 88:215.
The profile for John Carver also claims two marriages. Anderson reports only the one to Catherine (White) Leggatt, and even that is based on scanty evidence. Alexander White had daughters (Catherine, Bridget, Jane, and Francis), all apparently unmarried when he wrote his will in 1594. Then his wife's will of 1599 mentioned "my son Leggatt and his wife" and "their daughter Marie" along with daughters Bridget, Janie, and Frances. Bridget White married in 1604 to Rev. John Robinson. Then on 14 June 1620, John Robinson wrote a letter to John Carver as "my dear friend and brother, whom with yours I always remember in my best affection." This is not conclusive, because John Robinson also addressed other members of the church as "brother."
I added the information from Anderson to both Robert and John's profiles, in an effort to be helpful, especially to those who do not subscribe to Anderson's work.
Also agree with Ellen, it is just courteous to confer with the project and/or managers before disconnecting, but it does need to be done.
Also cannot find an appropriate source for 1st wife of John Carver and maiden name of Catherine, wife of Robert Carver.