The problem with insisting now on the original rule that both parents must be citizens at the person's birth is that there have been exceptions which passed unchallenged at the time (Chester Arthur for VP and for President, Agnew for VP). The public seems to think that anyone born in the US is a "natural born citizen" so it's going to be hard for a few constitutional experts to set them straight.
Nice try, but apparently Agnew was NBC and the 1920 Census data was in error. While Arthur's status was not generally known. It was known or at least thought (correctly) that the was born in Vermont, It was also known that his mother was born in the US, and that his father had been here, or in Canada, for a good long time before his birht, and was a citizen at the time of his selection to VP. What was not known was that his father was not naturalized until well after Chester's birth(about 14 years afterwards) The latter fact was only recently unearthed.
Since "the public" did not know his status, how can you say they approved?