I do not think the terms ingresss and egress necessarily are limited to entry and exit to ones own property ...may vary by state
I actually just bought the property last year.
My guess is that "right of way" gives greater access than just for ingress and egress.
It seems that the Bard was right. " . . . at length the truth will out". As here where your first effort it is an adamant, unqualified, categorical no, "your neighbors have no rights to the use of your drive way"!
Then we find the no replaced with a less than informative, "well . . . . . . maybe they do and maybe they don't"?
And lastly (hopefully) and more telling, "my guess is . . . "
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Personally I don't know how the courts would construe such pitifully drawn grant of easement where every property is seeming both servient and dominant. But I'm sure as hell not inclined to confuse the poster with some unsupported jabber just to see it come to life on the board! In other words, ajax - unlike yourself, I don't have anything to prove!
However, on the other side of a creek, there is a private road that crosses my property (although it is not on the map). That road is mentioned separately in the legal description of the property. It says, "A right of way over that certain road leading to..."