Yup... adding points to poly* features
Already offered... Densify at all license levels? NO!
My missive .... Densification by Factor YES!
There is also a Geodesic Densify, but I don't do Geographic in any event, so use esri tools
Why did I reinvent the wheel? Because the densification basis is to simply provide a sequence of locations, for X and Y then subdivide the intervening location by some factor (hence the ... by Factor)
Here is an example....
Then you run some code
And you get this.
Where it really shines, is for long features that just need to be densified without any particular requirement for a set spacing. If is fairly speedy as well.
Hope someone finds this useful, if you don't have the Standard or Advanced license in particular.