The impact on the frequency of adding zero samples and non zero samples
As soon as you sample in the nuiqist rate, sampling faster won’t add information(!). Sampling zeroes can be looked at as approximation mistake(!) It gives the same frequency as the original signal mathematically because it’s multiplying by zero and IF by contradiction, there would have been any other value instead of the original value, which WOULD [again by contradiction] add some information aside from what we have with the niquist samples, THEN we would need a higher niquist rate and that would be a contradiction to our given Max. Niquist frequency.
Yes, indeed sampled zeroes gives the same signal and they are considered as a measure mistake given the Niquist frequency!