Safe answer seems to be that 1 and 2 studs support a landing that supports both upper and lower staircases, so I would leave them there. I can't see enough of the whole structure to suggest something else.
I really don't see a problem removing #1 or #2 cripple, not both though. You really need to install a header at the top of your stairs there is just not enough support for the three stringers at the top.
guess they stay up because they're used to being there, looks like the stairs could use a little TLC.
a proper header above #1 & #2 supported by the studs on the side would work. I'd certainly take care of the issue at the top of the stringers as you currently have little support
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