This caused my taxable income to be increased by the amount of the conversion. Not good. My biggest mistake was not being more diligent about looking over form 1040. I feel like it should have been a pretty obvious error.
But in this specific case of "minor error [...] leads to significant money losing tax implications" - it is really an error that would be possible in absolutely any "fill in your tax info situation", since the mistake they made was writing the wrong number into a "taxable income" field. That mistake can still be made even in a country whose tax system is as simple as "everyone pays X% of their income as tax, and fills in a one-field form where the only question is "what was your income for the year?". (But yeah, a simpler system would mean less opportunity for making simple mistakes, and easier to check if any have been made, for sure.)