I could be wrong, but I get the impression that happens a lot on Japanese TV? I agree, I find that kinda thing takes me out of the show because I start thinking of the show/film the song was originally made for. Back after the Lemony Snicket's A Series of Unfortunate Events film came out, I kept hearing the same track from the soundtrack of it on different shows here in the UK.
Evangelion seems popular still in Japan though so I guess they chose it because they think people will recognise it. There's even a series (ロケみつブログ旅) with a girl cosplaying as Asuka Langley travelling across Japan and is currently going around Europe. They use the music and instead of on-screen subtitles they often do big white Kanji on a completely black screen (reminds me of a NGE pencil board I had once