The confusion here is that this preview of Windows does not come with the app pre-installed.
If you came across this problem, this is not Microsoft limiting who can access the first preview of the Store. However, it seems that there has been some confusion among participants of the Windows Insider Program regarding the new Store because some users have been reporting that after installing the Windows 11 build 22000.51, the preview of the new app is nowhere to be found.
Microsoft recently released the first public preview of Windows 11 (build 22000.51) for developers and enthusiasts, and with it, the company shipped a lot of new features and improvements, including a new Start menu and an updated taskbar that now both have a centered alignment, the next evolution of Action Center, an updated version of File Explorer, and a newly redesigned app for the Microsoft Store.