For the same saved copy, your collection tile and card detail page use the same saved value. Opening a detail page does not run a separate pricing calculation that should replace the tile's amount.
Refreshing a saved value
Use Refresh price on your card detail page. Once the lookup finishes, the saved result updates the detail page and refreshes the collection and dashboard data.
Expanding Recent sales, Available listings, or Prices by grade shows reference information. Those sections do not change your saved value.
If the amounts disagree
Check that you are comparing the same owned copy, including its grade, variant, and owner. A value marked Set by you is a manual value for that copy and can differ from the market reference.
Wait for any requested refresh to finish, then reload the collection page. If the difference remains, report both page URLs and the amounts shown. Neither page should silently choose a different value for the same saved copy.