Not sure if they'd notice it too much before it retains critical mass. Only saw the original movies and the Wizarding World seems more or less okay with Industrialization, two World Wars, Nuclear Weapons, Mechanical Flight, Computers and the Internet etc through ignorance and momentum without breaking into an all out War with Muggle Humanity. So if Psionics and Biotics becomes a thing it might be a curiosity when its first noticed but since it's not magical it'll probably be allowed to persist, especially since I don't see psionics or biotics as a direct threat to the Wizarding World except in fairly manageable ways. Maybe a Psi Operative could happen upon a Wizard and read their minds and ruin the "illusion" but I don't see random incidents approaching critical mass. Granted a Psi Operative might be more resistance to memory loss charms or even immune to them, but it's still a one off and I feel manageable.
The Wizarding World has endured exceptional advances in technology already and hasn't broken the illusion. It seems like it should be inevitable but the rise of Psionics in Humanity I don't think would provide a breaking point to cause the Dam to burst. And if it does get disclosed, the idea of Wizards fighting Psi Operatives for "reasons" seems like missing the forest for the trees. Widespread disclosure of the existence of the Wizarding World is a far bigger deal then Psionics versus Aurors.
It's like what Max Brooks said in regards to Vampires vs. Zombies... the Real War is Between Humans and the Zombie Apocalypse. Vampires are just kinda there. This is the same with the Psionics... though granted they'd actually be on the Humans side and an important asset. But still.... a small bit of a larger Muggle World.