She got over her dad’s death so fast?

Yeah it was strange but she had a very odd and not particularly affectionate or trusting (she constantly questions his judgement and instructions) relationship with her father before that . I thought there would be some revelation about why their relationship was so cold but that never come.

I just now saw this, a year after your post, so IDK if you're still out there :-)

My impression after just one watch is that it wasn't "suddenly". I think she spent some amount of time there. My only real support of this is that she dug through some obviously pre-dug-through things (bags, drawers, etc) to try to find any trace of food.

But regardless of the duration, I'd say she's mentally coping with the immediacy & danger of her situation by suppressing whatever father-death-related feelings she has. Once she safe on another world, she might take time to grieve.

I got that she took some of her dad’s drugs and so the throwing things (food?) was down to that really.

I got it as they just werent really that close and they didn't act like a family. Which was shown how Pedro pascals character kind of replaced him as a father figure. Her own dad was willing to put them at risk to steal Pedros gems, while Pedro wasnt willing to sell her to those weird tribespeople for a bunch of gems.

This was also kinda indicated when she tells him how her dad didn't want her reading her favourite story that she should just be learning new skills.

He didn't see her so much as a daughter as a coworker he just lugged around. imo

I'm not buying the explanation people have that daughter+father weren't that close. They spent a huge amount of time isolated together and were family. Even children from horrifically abusive households develop strong attachments to their parents. The dad here may have been stand-offish and harsh at times, but more run-of-the-mill parenting mistakes than purposely abusive.

From the way she reacted to cutting Pedro Pascal's arm off, it seems more likely she had been through a lot of trauma and that affected her (non)reaction.

If you're stuck with your dad living out the one more high-risk venture that will, for sure, set us up for good this time...

...and Dad does oxy to go to bed, and crystal to get up in the morning, how attached are you really going to be?

Dad was a resourceful guy, but obviously damaged and he had trapped his daughter as a surrogate for an adult relationship and kept her stuck in get-rich schemes forever.

She's probably torn between possibly dying on this world because she's gonna run out of breathable atmosphere and food, being grateful her dad isn't around and yet somehow missing him, because that's how co-dependent abusive relationships work.