Consider site A which is a news publishing site that has valid AMP pages with non-critical AMP pages (as notified within Search Console). Also, Site A publishes news articles from site B (its partner site) and posts it on site A which have AMP pages too but most of them are not valid AMP pages with critical AMP errors.
For brand terms like Economic Times, it does show a top stories carousel for all articles published by Economic Times, however it doesn't look the same for site A (inspite of it having valid AMP pages).
Image link: http://tinypic.com/r/219bh9j/9
Now that there are valid AMP pages from site A and invalid AMP pages from site B on site A, there have been instances wherein a news article from site A features on the top stories carousel on Desktop for a certain query whereas it doesn't feature on the mobile SERPs in spite of the page being a valid AMP page. For example, as mentioned in the screenshot below: Business Today ranks on the Top Stories carousel for a term like “jio news” on Desktop, but on Mobile although the page is a valid AMP page, it doesn’t show as an AMP page within the Top Stories Carousel.
Image Link: http://tinypic.com/r/11sc8j6/9
There have been some cases where although the page is featured on the top carousel on desktop, the same article doesn't show up on the mobile version for the same query on the Top Stories Carousel.
What could be the reason behind this? Also, would it be necessary to solve both critical and non-critical errors on site A (including those published from site B on site A)?