No, not necessarily (although it could be in some cases).
"No right thinking person would ever give their toddler a loaded firearm to play with."
Is this a true statement, or would some 'right thinking' people allow toddlers to play with loaded guns?
"No right thinking person would knowing ingest deadly poison, that they knew would kill them, if they did not want to die and there were no unusual circumstances affecting them."
Again, is this a true statement, or would some 'right thinking' people think 'what the hell, today I WILL eat the poison'.
The No True Scotsman fallacy requires a claim to be made that is not true. If the statement begins with "No right thinking person would ever...", it can only be the No True Scotsman fallacy if it is something that a 'right thinking person' would do.