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This did not happen when Minato used the Shiki Fujin, nor did it happen when Orochimaru summoned the demon.
The demon gave no fucks about Orochimaru and certainly gave no fucks about Minato.
But apparently, Hiruzen somehow interests the demon.
This must mean that there is something unique about Hiruzen that Minato and Orochimaru do not have. Hiruzen has something that interests the demon.
It's blatantly obvious that Kaguya is the demon of the jutsu, so what possible relation does Kaguya and Hiruzen have?
Maybe Hiruzen is the incarnation of Hagoromo? It would explain a lot considering that old Hagoromo does indeed have uncanny similarities with old Hiruzen.
#believethehype