Oh, bless your heart. "Busy" has been code for "not interested" since the dawn of time - it's just that now everyone's got a smartphone to make the excuse sound more official. In my world (e-commerce brand management), "busy" is the polite way of saying "your product launch is a dumpster fire and I'd rather eat my own keyboard than join another Zoom call about it."
Someone in the thread once pointed out that when people say they're busy, they're really saying "your priority isn't my priority." Dead on. I've used it myself when a client keeps asking for "just one more tweak" to a campaign that's already gone live. It's not that I'm literally chained to my desk - I'm just not interested enough to make time for you.
So yeah, take the hint. If someone's "too busy" to reply to a text or grab a coffee, they're not saving the world. They're just saving you from the awkward truth.