As someone who has known Rav Abadi for many years, I’d be very surprised to know that he ever mattered all wines. I’ve personally asked him staam yainum shaalos and he has never just said o all wines are fine. It is possible that the website, which belongs to his sons, made an error. This has happened in the past (see oats on pesach, bugs in water, tehillim for choleh), but i would be shocked if Rav Abadi ever held that way personally. You may be confusing his wine psak with his grape juice psak.
Also, Rav Abadi lived in Israel for many years, but has since moved back to lakewood.
I can personally corroborate these statements. Except for the part about newhere knowing Rabbi Abadi, because I do not know who newhere is.