In the fifth episode of Bokutachi no Remake, the character Nanako Kogure performed "God knows..." which was used as the insert song for the 12th episode for the first season of Suzumiya Haruhi no Yuutsu. The series was set in 2006, when Haruhi was still airing.
However, it would became interesting when you realize that Nanako is voiced by Aimi, who in turn also voiced Kasumi Toyama, the vocalist of Poppin' Party in the BanG Dream! series.
Poppin' Party also had their own cover of "God knows..." and also performed the opening theme song of Bokutachi no Remake.