I was suggesting this because you actually have to be looking for double spaces. If the software is looking for an lists it when running an 'inspection'.
Users many not even know they have the problem, currently the inspection report states 'misspelt'. Not really telling the user about a double space, it could also lead to users miss-understanding the error as you cannot really see a double space.
You check for double spaces first, more efficient to 'apply to all' in the first inspection report line, opposed to have many 'misspelt' inspection entries, requiring the user to apple the change many times.