It is so smart to do your research before buying a home. Good for you for so smartly looking into such matters. I think the other realtors and lender did a good job of covering several items to consider. The additional item that I would like to add is the safety of children, if you have any. Standing water may be dangerous, depending on their age, fencing, and supervision.
I believe that most people do see the greenbelt as more positive. It creates a peaceful breathing space, energy, and privacy. Please also consider that with green, often comes some wildlife, wonderful if you like that idea, not so much, if you don't.
There are many other things to think of when buying a home, taxes, HOA dues, MUD's, etc. I'd like to cover it all with you, so there are no surprises. Please feel free to call me at (512)560-9318, or visit my website for a look at all currently active homes, and accurate pricing information. (Not always true for all websites.)