If one day one landed on my boat out at sea all alone, and I inspected that bird, and with my expert knowledge I knew it to be the dodo. Then I turn my back and the bird flys off before I could put it in the cage. Well I just experienced personal evidence that the dodo existed still.
Even if i could never find another dodo bird in the wild and could in no way prove to the greater community that the dodo still exists, I would still be perfectly reasonable to use my personal evidence to conclude that it does.
It would further more be reasonable for me to spend my life trying to find evidence of the dodo bird, even if i never find any evidence again.
I see no problem with people who respond similarly to their personal evidence around god. Whether they are correct or not in their assertions; likewise it deserves skepticism from people who have not witnessed the evidence or are personally unable to reproduce it.