And how many ladies have you seen? Because this is more dangerous if you are newer to this, IMO.
For me, part of the process was to get my big head, little head and heart around the concept of P4P. The big head got it almost immediately, and it sounds like that is the case for you when you say "I'm not delusional." The little head said, "Hell, yeah!" and wanted to go get as many lovely ladies as it could. But the heart - well, every time we saw someone and the play was great, the conversation good, and she looked lovely, it kept saying, "She's the one, let's spend all our time with her!!"
It took a couple of those ladies breaking that heart just a little by making it clear exactly what I meant to them for it to begin to get the idea. And the thing in your post that makes me think you are not there is when you say this... "even though you do fantasize about more." Yeah I sure did, and, no, actually, I no longer do. That is not to say that I do not have some lovely friends and the friendships are not slowly evolving, becoming deeper and richer, because they are. But when I am there, I am enjoying the moment, and when I leave, I am on to other things.
Another way to say it is this - when I started and I asked a provider if she wanted to meet for a drink and she said no, I was really disappointed, upset. Now I might ask a lady if she is hungry after we finish, or she might suggest we go for a drink, and I am happy if we do, but I am just fine if we do not. We owe each other nothing (that is part of the charm of this after all) and are free to choose.
I have considered doing more with one or two ladies, say taking them away for a weekend or such, but I decided I do not know either of them well enough to know whether or not that would be fun. So we will go gradually and see what develops. Not a fantasy, but a growing friendship, a mutual exploration and some fun along the way.
On the other hand, maybe I have just not met the right lady to get my heart thumping again and continue my hobbying education and heartbreak. But, in answer to your question, no, I would not just see her. She definitely is not just seeing you and it is best if you keep things in balance a little between the two of you. Plus, as others have said, what will you do when she cannot see you? Both of my heartbreaks turned out to be because the ladies got new BFs and either changed how they worked a whole bunch, or just quit for a while. Screwed up my hobbying and put me in a very bad/sad mood. All for the best in the long run, but the heart was so sad.
Of course, in the end you are gonna do what you are gonna do, no matter what we say. That is how this works.
enjoy,
zig