I think so, personally. I wouldn't bank a lot on "the soul" per se, but Dawkins is absolutely one of those "smart but not wise" people.
I imagine people don't dig it because it can be woo and vibey, but the older I get the more I understand the value of the "imprecise" metaphysical/religious/etc whatever you want to call it.
Someone in this space who handles this very well, unlike Dawkins, is Nassim Nicholas Taleb.