I assume that when you are talking about Eastern and Traditional Catholics, that you mean relations between two different groups, but please correct me if I am wrong.
They are not necessarily two separate groups. I personally know many Eastern Catholics who do not like female altar servers or Latinizations amongst Eastern Catholics, prefer the Extraordinary Form of the Roman Rite to the Ordinary Form when a Divine Liturgy is not available, etc. Traditions of the Eastern Rites are just as traditional as those of the Roman Rite.
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