I've just started in on the Uncanny podcast after also being late to the Battersea show. I like the presentation. It's fun. But the process of attempting an explanation is painful to listen to for me, even thought I find Drs. French and Watt far more credible than the paranormalists.
You can't ever tactfully say the truth: recollection is not reliable evidence.
It's fine to hear a story but narrators become very convinced that their memories are accurate (when we know that is false) and listeners are convinced that they are hearing things described exactly as they really happened (which is a courtesy but not a reliable practice, particularly since these events took place a long time ago).
I've always been fine with ghost stories. It's when people start to make them into facts and move to conclusions that unnerves me. We will never know what happened and it's not right to suggest that we can.