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Completely false. Weekly new cases per capita is merely a function of number of tests performed by authorities, and furthermore the false positive rate of those tests too. Percent positivity of those tests is a somewhat more accurate indication, but those figures rarely see headlines because they are less sensationalist. For example, UK test positivity rates are less than 1/10th what they were at the peak.

Weekly new hospital admissions is better.

Case numbers are massively skewed by testing capacity.

Even that isn't good - it doesn't account for people who don't go in and drop dead. It is suspected this is happening in India.

Well, as of early May there were 198 variants identified: https://www.bbc.com/news/health-52557955 We don't know that there's any difference, currently, between what variants are dominant in different parts of the world. But, we sure don't know they're the same, either.

Mm, how to account for the percent of tests given that are positive? That seems like important information.

BTW, this is a very well done indicator dashboard for the Netherlands. https://coronadashboard.government.nl/landelijk