Author here. A few things to keep in mind:
1) I'm criticizing the system because crowdsourced song reviews are a very poor fit for software. Although I personally get frustrated with some dumb reviews, overall my software is highly rated and well reviewed.
2) Some of the comments are making baseless speculations about my software, without having used it. One commenter says I'm trying to "avoid being called out for making shitty and/or obnoxious software", which is easily disproven with a little investigation. Another commenter says, "This probably means you've made your support system too hard to find/use." Probably? In other words, the commenter has never used my software and doesn't know. The same comment and others mention a "nag screen", but I don't actually have a nag screen. I try to make support as easy as possible to find, and also to make the review request as unobtrustive as possible.
I wish the comments here could focus on the rating and review system, refrain from making it all about me, making it personal, which it's not. Of course I'm personally affected by the system, but so are thousands of other developers, many of whom I know feel the same way as I do.
Baseless? You posted all the evidence people need in the form of a screenshot and acknowledgement. People hate the nagging and support the only recourse they have to stop it.