In Aliens: Special Edition when speaking to Burke, Ripley refers to her daughter as "Amy", NOT Amanda.
Amy has always been short for Amanda.
For example, my unborn daughter is named Ellen. After Ripley. We call her "Ellie Belly" right now, and Ellie is likely going to stick when she's born.
Ripley promised her daughter she'd be home for her 11th birthday. Obviously this was important to Amanda. So WHY was this not acknowledged in Ripley's private message to Amanda in the game??!!! Ripley just says, "I'm sure I'll see you real soon." What she should have said was, "I hope I can still make your birthday". This would have been a great way to connect the game to the film even more.
We don't know when Amy's birthday falls in relation to when Ripley was sending the message. On top of the sheer desperation of the moment.
I don't think it's optimistic at all at the end of Alien. It's bittersweet. It's a question mark. The whole movie they were taking their chances in the shuttle and how risky it would be. They're not just down the street from Earth, they're a long way off. ten months away with the Nostromo and her powerful engines. Who knows what the actual range of the shuttle is or how fast it can go compared to an M-Class Star Freighter?
She may have been expecting to be stuck out there for longer than ten months. In which case her birthday was no go.
PLUS in Alien , Ripley optimistically says in the final scene, "with a little luck, the network will pick me up." She had no doubt she would be saved and yet in her message to Amanda in the game she sounds emotional like she's worried she'll never see her again.
Bruh, she's talking to her daughter in the message. She's a little emotional. She's not guarded. She's not professional. She's a wounded woman who is reaching out to her daughter, because she literally just lived through the worst thing in her life and all the fears and insecurities that come with that.