I actually was able to invite her twice, now that you mention it!
And with amiibos, the cycle is almost the same. They kicked villager is in boxes the same day and next day, the plot says it was sold to the amiibo and they move in the following day.
7th: Audie invited
8th: Audie appears in boxes
9th: Audie walks around freely
10th: ...
11th?: Spinkle amiibo 1st invite
12th: Sprinkle amiibo 2nd invite
13th: Sprinkle amiibo 3rd invite and boots another villager
14th: empty plot says sold to amiibo villager
15th: amiibo villager unboxing
16th: amiibo villager walks around freely
17th: glitch
Is this timeline right, or was Sprinkle still unboxing yesterday?