Illinois Everbearing Mulberries

After a 15 year wait, I was finally able to harvest a few mulberries last year, see https://www.edimentals.com/blog/?p=23040 
In the winter I was sent 4 cuttings of the variety Illinois Everbearing which everyone raves about! I’m not much of a grafter and in fact I can now report my first success as all 4 are alive! I’d actually given up when I noticed green buds on 3 of them a few weeks ago and then last week I saw the 4th that I had missed that even had berries!
I’m wondering, what chance the ones in bud have in making it through the winter and I should maybe remove the fruit and flowers now appearing on another?