I agree it sounds annoying... to you.
That is fine, you are allowed to be annoyed by it and that does not make you a bad person, everyone has different views and everyone is allowed to have those views.
You do not sound a bad parent, you children sound like they get a lot of love and fun time. You just choose to parent differently to the majority of parents (judging by the responses here and my real world exp). Different does not always mean bad nothing you have said suggests you are anything other than a loving parent.
I am sure I would agree with you some nights, there would be evenings I got home just wanting to get bath and bed done and there would be a meltdown I said no. However I grew up as that household (admittedly back garden not front). I had a trampoline before they were popular and my house became the place to be, anywhere from 5-15 kids most of the summer and multiple evenings a week would be over and it was the best time ever. I fully intend to give my children that same experience and would take the odd annoying evening in return for all the amazing ones.
I do not think you are a bad person, mentally ill, bad parent etc as some people have said but I will say that you haven't helped your case with the tone of some of your replies, they really have come across as attacking this woman and being very negative.
Clearly from some of your posts about not liking play dates or small talk you are not a social person, that's fine, you are allowed to be like that. However a lot of people are and they enjoy being around others, interacting and spending as much time as possible with others.