The impact on the frequency of adding zero samples and non zero samples Can someone give me a brief explanation of what is going on in here? I struggle to understand the full differences between the impact on the frequency of added zero samples and adding samples which are not zeroes. (In between the samples).
I learnt this course 100% from the lectures so if I have some misconception regarding the basics, I'd be glad if you could kindly help me understand.
The key points I know so far:

Adding zero(ed) samples in between the existing ones in the time domain, squizes the frequency domain and adds height to it.
The squized frequency domain is squized while it's normalised (once we turn it to be periodic with period of 2π).
Adding non zero(ed) samples to our time domain, we get an added zeroes vector to the end of the frequency domain's period. (Padding zeroes in frequency). Which means that when it's being normalized into 2π period's length, then it's also being squized.

From that we conclude, that adding zero samples and non zero samples do the same exact thing.
[Question:] where is my mistake in the above logic sequence? Where is the difference between the impact of adding zero samples in the time domain on the frequency vs adding non zero samples in the time domain on the frequency?
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!