Well, there is no 1" Sig. Zee sold by Burris that comes with anything other than a set of 0's for each ring. The only way you can buy a Burris 1" ring that comes with other insert sizes is to buy the much heavier XTR Signature rings.
It is easy to mis-remember because when you buy a pair of 1" Zees there are no inserts in the rings themselves, and there are two sets of 0's in the package compartment below the rings.
When you buy a pair of 30mm Zees there are 0's in the rings and two sets of 10's in the lower compartment. Here is an example of each. I doubt you can see what is, and isn't, in the rings, but trust me, what I describe is accurate.
I have been buying both sizes of Zees and a lot of XTR Sig's for several years. I have always had to buy the inserts separate for the 1", if I wanted something other than 0's.