Anecdotal evidence can be the start of scientific investigation, but not the end of it. If you've investigated the matter thoroughly and can't replicate the results, it's time to either search for more evidence or move on to another project. The beauty of it is, you can always come back to it some other time if new evidence does present itself.
If a whole bunch of scattered people encounter the same type of thing only once, and it can't be replicated on demand, what does that represent?
Your average decent person doesn't go around thinking that something only happens to them....so, when they read reports of it happening to others there is the reasonable thought that because it happened to them, not all of those others are likely to be lying or mistaken even if some are.
If it was only an individual thing, it would be easier. You don't know what it was and there's nothing you can do about it, so you just file it away and move on. It's those reports from other people that make it a bit of a nagger.
I'm just waiting to see if science turns up anything new over time.
In the meantime, it's just an interesting topic of conversation. I do very much remain an interested skeptic about such things.