Just tried again with latest app version to confirm. It seems that it saves the position for short amounts of time if you put the cursor down in the document and leave the keyboard open.
However, if you just scroll down in the document - without putting down the cursor - and then switch applications, the note still refreshes and resets to top position.
So:
1) If you forget to put down the cursor, your position will be lost when e.g. switching apps
2) If you just want to read a note and don't want to put down the cursor (to avoid bringing up the keyboard and obstructing a lot of your screen), your position will be lost when e.g. switching apps
This issue is not fixed yet.