no you only get 1 per zone, you get tons of points if you manage to multihook !!! fish during the spectral current but I have never seen any during those.
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It is not possible to see more than 1 current per stop. However it is perfectly possible to hit over 10k points with just two currents, or even ONE current. Look over the link I posted above, and go after the appropriate fish per current and you will see your points skyrocket. I routinely get 10k+ on 2-current runs when I focus on hitting the correct fish for the zone/time.
EDIT: Case in point, just after posting this my next ocean fishing run only had two spectrals. I wasn't even trying to go for points and was actively surface slapping and letting fish go outside of currents and I still ended up with 12617 points. The three people below me on the list also had over 10k points, with most of the top ten being over 9000. Once you get a handle on what you should be doing, it is very easy to break 10k, even with only mediocre RNG. Bad RNG will still bite you of course, but it's not something that requires crazy good luck once you know the fish.
This sounds like perfect content in the future for fisher trusts. Not enough people fills with trusts people leave fills with trusts. Why should disciples of war/magic be the only trusts?