For me it works, first it shows my last notes posted while download the rest from all relays.

Good for you. It rarely does for me. Sometimes it drops me into a portion of the feed that is several days old. Then I have to swipe a few hindred times to get where I was. About half the time is brings me to current posts when I was looking at ones hours old. Countless times have I been on a note, or even replying to one, go to my browser for a link, and return to be dumped into a random part of my feed (where I need to scroll down to find the note I was repling to). Lesa than 30% of the time that I leave Amethyst and return does it actually keep me in the same place of my feed as when I left.