Roman or Latin Rite Catholic is one rite within the Catholic Church.
This might help you out: http://www.mncuf.org/rites.htm
As you can see calling the Catholic Church “the Roman church” is technically incorrect and is often used as a derogatory to inflame. But it has come into common use to call the Catholic Church (the proper name) the Roman Catholic Church.
When discussing theological differences one who disbelieves what the Catholic Church teaches has disagreements with all the rites of the Catholic Church not just the Roman Rite, since they all attest to what the Magisterium teaches as Truth.
What is the main difference between Eastern Orthodox Church and the RC Church other than priest can marry and they have a different leader?