Reading the description in Settings for both of these switches, we learn the following:
1. Allow Apps to Request to Track specifically "Allow[s] apps to ask to track your activity across other companies' apps and websites." This clause clearly doesn't apply to any internal analytics process.
2. Share [Device] Analytics is a bigger issue, and is the problem. The switch says that it sends information about how the user uses the operating system and Apple services. That clearly includes the App Store, so switching this off should switch off App Store analytics.
Including the first point seems stupid, since it muddies the claim against Apple.
A note about the App Store privacy information. It (separately) indicates that they collect the information this article alleges - so Apple IS disclosing it. However that doesn't change the fact that the Analytics toggle reasonably seems to apply to the App Store as well.