I am not sure, nor am I sure how much Rav Ovadia is involved at his age even though they put his name on it.
While I know for sefardim they do not hold this way and very much respect the hechsher I was told by 2 separate mashgichim, one very respected top mashgiach from the OU (the other was a famous mashgiach for rabbanut yerushalayim!) who told me that beis yosef is practically treif FOR FLEISHIG and even bdieved/bshaas hadchak not to eat it (we asked the last part as my husband was part of a sefardi kollel for a short time and they’d order food for the kollel and liked to eat together and they’d get offended if he didn’t eat with them but he said it’s that bad, at least for ashkenazim – the rama and the beis yosef hold differently, even opposite, on certain things)…
that being said he said it’s fine for milchig as they are super makpid on bishul akum etc but each person should ask their own rav/mashgiach they trust….