I have twice had totally asexual sessions. On my very first ever outcall meet at a hotel. the WG was absolutely lovely. The small talk morphed into normal talk and, as I was in a foreign country (US), I realised after a week or so or work, I was more interested in some female company than just sex. She stripped down to her bra and panties, and at about the 40 minute mark said soimethign along the lines that if I wanted to do it, now was the last opportunity... but I was happy just yapping.
The next was a gorlf form Eclipse escorts (that was also a very long time ago). A fit young Scottish girl who came to a hotel. Although she was hot, for some reason, I just couldn't bring myself to have sex with her, so we surfed the net (wioth a modem at something like 1200bps) for an hour. She have me her number and said if I wanted to have another session, she would do it for free.. but I just wasn't interested.
Normally (and in both those cases), I intend to have some form of sexual satisfaction when I go punting.
Oh.. And there was the one where I arrived at the WGs pad so drunk, I fell asleep as soon as the head hit the pillow. I was out for three hours apparently.. Thankfully, I was her last client for the night.