Regarding the random block rewards, this article puts it very well: https://f2pool.io/mining/insights/20200828-dogecoin-random/

Well, it's indeed hard to achieve true randomness but at the initial phase the Doge block rewards were more "irregular".

Agree with you regarding 2 and 3. But going back to the 3 to 4% inflation: 3 to $% it's also the rate that Gold is mined in the world and Gold it's still considered scarce :)

Kind regards,

Henri