I don't care for some of the chosen replacements - "sanity check" and "double check" are not equivalent phrases to me. The only linked justification I could find was inclusivenaming.org, whose Tier-2 list provided better alternatives like "confidence check" and "coherence check". Changing word choice risks losing subtleties in the original meaning, and I'm not sure it worked out this time.
My definition: check for conditions which are so unlikely we can consider them to not be valid.