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Currently we have a tag errors-erratum with erratum being the sole synonym.
I see no reason to have tag with such a convoluted name and not use the synonym system for this.
I thus propose to:
Is there any problem or better solution I am missing?
I think the only potential problem is that “errors” might be misused for other types of mistakes, rather than for mistakes in publishing. Your solution of errata with the synonym erratum (no mention of “errors”) avoids this potential problem.