The fact that a saint admired a certain private revelation or apparition does not make it authentic, and I think the saints you referred to would agree with that, and submit any official determination to the disposition of the Church (local ordinary). The reference to Garabandal comes from the Garabandal source, which is fine, but I would be interested in any documentation about bishop approval of Garabandal from a source not connected with Garabandal. Since this interview is from the early 1990s, there should be a lot more documentation then or since then.
Regarding your question, have those other “apparitions” been approved by the Holy See? - I think there are at least 2 different issues here.
- Did something supernatural happen in that place and time?
- Are the statements reported to be from Mary, or Jesus, worthy of credible belief as approved private revelation?
Approval by the local bishop - it is not “opinion” but rather ****official ********determination ****as the Ordinary of the diocese - is usually the only approval (or other determination) that is granted by the Catholic Church. Job complete.
Ordinarily there is no approval or any kind of statement by the Vatican. In a few, rare instances, the Holy See has determined that in some of those cases officially approved by the local ordinary there is international significance requiring further assessment, for Catholic understanding for the Church as a whole, for people in all dioceses. This is not a reevaluation of the local bishop’s determination.
The fact that this happens in a few, rare cases, such as Fatima, does not mean the ordinary’s approval/disapproval that happens in the great majority of cases is “incomplete”, or just a provisional, or an “opinion”, pending the Vatican’s “final decision”. If the sites mentioned in that post are officially approved by the local ordinary, they are fully approved.
I am a concerned about a trend, wherein people defy the local ordinary, and say “Since the Vatican itself has not ruled on X, therefore what he said is opinion, and I await the final determination of the Church”. This can be a way we avoid proper obedience to the pastor, or bishop.