Rabbi Shay Tahan on Torahanytime.com based on Igros Moshe Yoreh Deah Chelek Sheni – Teshuva 111 says that according to Rav Moshe the song adama vshomayim would not be assur but would be mechuar hadavar.
If the lyrics are the same, R Moshe assers mei’ikar hadin.
Mechuar hadavar is without the lyrics.