I don’t think it is helpful or entirely accurate to talk in terms of “submitting” to Rome. The ministry of the bishops of Rome is a ministry of service. It is certainly not about domination or glorification for their own sake. Still, we do believe the papacy should be honored, in the same way that a master’s servant should be honored because he represents the master.
There are many authentic local churches of apostolic descent, but their communion with the single true Church established by Jesus is imperfect if they are not in full communion with the church headed by the successor of Peter, who uniquely received from Jesus promises relating to authority and was entrusted with unique tasks, not least of which are to “shepherd the sheep” and to “strengthen the brethren”.
You may want to be careful to clarify what character of authority you understand Rome as having and the kind of submission required, which others define more strongly (like Boniface VIII), but the issue remains that your claim is that "No one has given you authority to interpret scripture," and thus the basis for your claim is an issue.
And thus my question "is your position that that unless one has the sanction of those who are the instruments and stewards of Scripture and Divine revelation, having historical descent, then they have no authority?
You allow for a derived degree of authority among the EOs, but this is by Rome's sanction, thus i see no difference.