Mmmm. I think seeing sexual and slutty as synonymous as far as sexual behaviour in women is concerned is problematic, but I understand your point, but it depends on what you mean by 'put out'. I can think of several reasons why an ENTJ woman might do it.
1. Using sex appeal to get their way or have an advantage over someone -it may be morally dubious, but the ends justify the means for many ENTJ's. It's just a practical tactic sometimes, and their extroverted nature makes it easier.
2. ENTJ women, like myself, may ignore the sort of stigma about promiscuity that makes it acceptable for men and disrespectful in women. I don't mean this a hardcore feminist argument, as much as it may seem illogical to them. Hey, so what if they're looking for a quick fling and a good time.
3. They are extroverted thinkers. They can socialise and flirt with a person without there being any emotional connection. It could just be a bit of harmless fun.
4. If by put out, you mean dress in a sexually provocative way, it would be because as extroverts they are more comfortable with standing out and having that sort of attention, and are (generalisation) more likely to put on feminine clothes and makeup than an INTJ or INTP.
Reconciling? What, feeling sorry or guilty? Probably not, as long as they enjoyed themselves and knew the person was single.As far as morning after regrets are concerned, I don't think an ENTJ would be thinking 'oh no people will think I'm a whore' as much as 'I don't fucking know this guy, he could be riddled with STD's. Off to the Doctor's'
As for which type we'd go after.... entirely depends. Again, I don't think the majority of ENTJ women would be really flirtatious with a stranger, or at least if they were they probably wouldn't be recognised as an ENTJ. I personally would stick to silly innuendos and things like that, rather than just grinding on a guy's crotch (not that I'd go anywhere like a club or disco where that happens). I think most ENTJ women would certainly be classy about, in their own unique way. Again, of course, there's a large portion of ENTJ women who prefer not to be flirtatious or 'put out', I have a friend who I know certainly wouldn't. So it depends.
I hope this wasn't unclear.