There will be no impact on formulas in relationships by such a change. It is possible that changing a field name would cause a pipeline to fail but the failure scenarios are not well documented for that.
However I personally find it unconventional to change the name of the Record ID field. I understand that it is a great field to use for auto numbering for example for orders or tickets, but what I personally prefer to do is to make a mirror field called say [ticket number] which has the formula of [Record ID].
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Mark Shnier (YQC)
mark.shnier@gmail.com
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