Is the Filter Theory committing the ad hoc fallacy and is it unfalsifiable?

What about this follow-on study of mediumship accuracy from 2022, which employed 28 mediums, also with a triple-blind protocol:

Is There Someone in the Hereafter? Mediumship Accuracy of 100 Readings Obtained with a Triple Level of Blinding Protocol

Patrizio Tressoldi, Laura Liberale, and Fernando Sinesio

http://www.patriziotressoldi.it/cmssimpl...ter_22.pdf

Note: the calculated cumulative p value was 0.000048.

Here we have another study with blinded mediums apparently giving readings, with the readings being at least partially recognizable as from the intended deceased person.

100 sitters had come and asked for readings for a particular deceased person. Mediums were given only the first name of the deceased, and came up with readings for that person. Later the sitters were grouped in pairs, where both sitters received both readings. The sitters apparently picked the reading intended for their requested deceased person 65% of the time.

In the past such studies were often plagued with methodological flaws or showed no significant conclusion for the mediums. (Battista et al, The Myth of an Afterlife, p615) This study claims to have a more rigid control and to be clearly positive for mediumship accuracy.

If we assume that nobody altered the readings or biased the study to filter out the results they wanted, we are left with reports from the mediums that had a slight tendency to match the requested person. They were not a perfect match, but they were accurate enough for 65% to choose the "correct" reading. How did these reports come to contain this level of correct information? I can think of three ways it could happen:

1. The mediums got their information from the deceased.
   
2. The mediums go their information from the living through PSI.
   
3. The mediums got their information from some physical means.
   

Option 1 is clearly incredible. I find no evidence that a mind could continue after death. I have seen no post here that gives an answer for anterograde amnesia after brain injury that is reasonably consistent with an afterlife. I think the same applies to retrograde amnesia, loss of consciousness under anesthesia, language difficulties after brain injury, etc. So I find it hard to believe that the dead are communicating here.

Even if the dead could communicate with the living, how did the mediums contact the right person? All they had was the first name. If the medium was told the name was Mario, how did he contact the right Mario? There were three different people named Teresa whom the mediums were told to contact (full data is at https://doi.org/10.6084/m9.figshare.13311710). How did they get the right one when they were told the next reading was to come from Teresa?

Option 2 is also clearly incredible, as it makes an unrealistic claim for PSI. But at least the supposed source would be alive, which I would think is more likely compared with getting information from the dead. Dead man tell no tales.

Option 3 is also incredible, as the controls in place should have prevented the mediums from getting information from elsewhere. But I suspect this is the case. For mediums have long used fraud to verify their skills (see https://en.wikipedia.org/wiki/Mediumship). If they had real powers, why did many mediums resort to fraud?) In this study, could some of the sitters have found a way to contact the mediums before the study? Could the mediums, who gave their readings over Skype or WhatsApp without anybody supervising them, have had assistants on the Internet gleaning information to use in the readings? I don't know, but I find this possibility more credible than options 1 and 2.

I would like to see a study like this done where the medium does not even know the questions. Questions could be asked at random to the sitter in another room, with the deceased directed to give the answer to the medium in a nearby room. The deceased would know the question, but the medium would not. If the answers are just coming from the medium's mind, rather than coming from the deceased, this would reveal the problem.