I understand what you are asking here! It is not reported to have a major impact as far as I am aware.

I would be more inclined to point out the importance of having a good redirect strategy and also understanding how you tell Google you have moved domains within the search console.

I have had very successful experiences with moving a site to a new domain, but make sure you tick all the boxes so you don't lose your current rankings.

Have you set up a Google + account? - https://www.google.com/business/

Set one up and fill in all your company details, photos etc.

then verify your domain on it.

Also get a your address verified by having a Google postcard sent (or sometimes you can do it via a landline)

Then get a couple of reviews.

Get the above sorted and it should show up in no-time!