No, with both Netflix and Prime Video, if you cancel the skip-end-credits-to-next-episode (either intentionally or by configuration) and watch the credits and then close the browser, the next time you tell it to continue that series, it'll start from the start of the episode you've just watched. (At least when watching in Chrome on Windows over the past year.) Given that failure, it would be entirely unsurprising to see other bugs in the progress-tracking.