What is the effect of pausing (or disabling) the Google Contacts app

I use phone(s) with the stock Google Contacts app. Enabling Extreme Battery Saver on Pixel causes the Contacts app to pause (by default). If I enable Extreme Battery Saver on Pixel, and let it pause the Contacts app, does it pause automatic sync of Contacts? Could this help save battery usage? I am considering changing Extreme Battery Saver settings to allow the Contacts app. Could this increase battery usage? It does not have an immediate visible effect on the toggle at Settings > Passwords > my-account@gmail.com (Google) > Account sync > Contacts. I can also manually pause the Contacts app "for the rest of the day". Or I can disable it. I assume these have the same effect. My usual habit is to use the Contacts app, because it allows me to view a subset of contacts who e.g. have phone numbers. AFAICS, the Google Phone app has decided to show all contacts across all Google Accounts, including those without phone numbers, and cannot be reconfigured.