There are lots of strange quasi-definitions around regarding aspects of certification. Usually, this is a well-intentioned aim to make things a little easier for the new pilots to understand and put into the wider picture of the flying learning process.
Generally, the better approach is to go back to basics if you want to argue the toss on any points.
The definition for Vs0 (and that is zero, not the letter O - notwithstanding that the documents contain plenty of typos and sometimes you will find the number and sometimes the letter) has a few considerations associated with it. The following is a superseded definition but probably more useful for the discussion.
rgl.faa.gov/Regulatory_and_Guidance_Libr...06CAE12?OpenDocument
As a sideline note, the reference to 61 kts is the subsequently metricated number relating to 70 mph, which was the original limitation. This number goes back to the very, very early days of aircraft regulation and was a number which the early certification engineers plucked out of the air over coffee as being a suitable balance between what was achievable by Industry and a figure which offered some reasonable probability for post-mishap survival. This snippet of information I got from an ancient engineer who was a junior chap in the office at the time.
If you want to know what the FAA thinks their regulations mean, you read the relevant ACs. For flight testing associated with certification, that would be here ..
www.faa.gov/documentLibrary/media/Adviso...ircular/AC_23-8C.pdf
Not a document you might read over one cup of coffee but, certainly, a document which you should run your eyes over to get a feel for what goes into the POH.