You are not correct about this.
I'm on Windows 10 Pro right now, and have been running the insider builds for 6 months. When I look in my Apps I have no solitaire at all. When searching for apps, Solitaire is revealed to be available as 2 Trusted Windows Store Apps: Microsoft Solitaire Collection and Microsoft Solitaire Collection Preview.
From your screenshot, it is quite clear you are looking at the Microsoft Solitaire Collection which came from the App Store, not a Windows 10 built-in Solitaire.
As Solitaire was removed in Windows 8... I'm guessing you installed it on Windows 8... then upgraded to 10 where you are now seeing this.