What each option is best at
Where the browser works well
If you only need to check a few reports, inspect indexing status or submit a sitemap, the browser is enough. It is free, official and should remain part of the workflow for every site owner.
Where Rank helps
The harder part is often not access to data. It is remembering what changed, choosing what to improve next and keeping page checks beside performance context. Rank is built for that working loop.
Better fit for Search Console
One-off diagnostics, official messages, ownership verification and account administration.
Better fit for Rank
Weekly SEO reviews, small-site prioritisation, Mac-native work sessions and change tracking.
Honest limitation
Rank does not replace Google's tools and does not promise rankings. It is a paid native app for people who value a more focused way to work with the information they already have.
Verdict: keep Search Console as the source. Add Rank if you want a practical Mac workflow around it.