It can be intoxicating to hear such things from another person. Who wouldn't want to hear words like those? *(Especially as we age.)
If he truly is living the single CEO type lifestyle I would be very wary of his words being completely truthful and only being said to you.
Not that you aren't an attractive, strong, driven, virile woman. You absolutely may be, but my doubt comes in if this man is in his forties or older and single. I'm a very cynical person but life experiences have taught me that in that situation you are most likely NOT the only woman he has made these gestures towards. Especially if he is 2500 miles away. It's very easy to play out a fantasy online.
I wouldn't lose a sure thing over some guys' fancy words from 2500 miles away.
Personally, it's just my opinion, but I would stick with what you have from what you've described.