Made me start wondering if this is part of their defense so they don't appear too eager or like a slut. And whether if I should give them a little push before dismissing it right off the bats.

I run into this one a lot. Sometimes when I tell a girl to come hang out, she would give me a "maybe" - most of the time I'd just say cool next time then and carry on. But several times the girls showed a lot of interests yet still giving me these half ass responses. Made me start wondering if this is part of their defense so they don't appear too eager or like a slut. And whether if I should give them a little push before dismissing it right off the bats.

Asking someone to come hang out is a half assed invite so it gets a half assed response. Why not just make a plan?

Yeah, ASD runs women's lives. It's rather unfortunate. Imagine what it's like to live in hiding in broad daylight, even hiding from yourself.

This is why persistence is key.

That's ASD, you're giving up too easily.

Obviously your text game is already pretty solid, so pardon me if I seem condescending.

Light and jokey - you're not offended.
maybe something to spark the ASD

Personally I'd go for "ooh got another hot date lined up have you?"
or "What could possibly be more fun than smashing a few sake bombs with me? Maybe I should come to that instead "

In my opinion (ignoring the LMR) that's is a perfectly executed text conversation to get a date.

I gotta disagree. It's perfectly executed from a game perspective but I've found the "let's hang out at x day at x time" to be kinda unrealistic. People have stuff going on, so I find that (unless things are in the super solid phase), you setting the meeting cold like this is gonna run into maybes and conflicts. That's why I'd prefer to ask "when are you free?" after seeding a date, and working with that, than assuming she's free at x time on x night.