I have had the Post delivered to the Kindle for about a week now. It has been arriving every day as expected without any problems. Obviously if you have your wireless turned off, you won't get it until its turned on. As with other papers, up to 7 days of back issues are archived on your kindle. All works as advertised!
Since I get the Sunday paper edition, I quickly went through to see what was missing. As one would expect, the following are not in the Kindle Editions: most pictures, comics, tables and graphics, advertisements!, movie listings, and Bud Wells auto review. Some 3rd party article content such as from Wall Street Journal, and at least one Bloomberg article, were not found either. Other than that, most other written articles are there, and that is exactly what is included - nothing else.
In general, I find reading printed newspapers inconvenient, and you must hunt through the paper, work your way around advertisements, deal with the paper and recycling mess, be home to pick up the paper, etc - very impractical. So to have the Post delivered right to the Kindle wherever you are is super convenient. With the kindle, it is super easy to digest article content and quickly come up to speed on what is going on in the world. I also find it superior to browsing for news on the web, as the news is just dumped to the kindle and you can read through it quickly using the Next Page button. My biggest complaint is that some content could be better prepared and offered for the Kindle readers, such as a link providing consistent weather forecasts for Denver area, list of movies playing, etc.
If you like visuals, advertising, colors, etc, the Kindle edition may not be for you, and the printed paper or web may be a better choice. But, if your sole purpose is to consume Denver/Colorado/National news content quickly and efficiently from the comfort of your couch with little eyestrain, Kindle edition is decent enough.