Downloads and Updates still ask for old AppleID password
If an item is purchased with an Apple ID (even if it is a free item) it can only be updated using that same Apple ID.

For example, if you downloaded the Facebook app using the Apple ID "foo@example.com" and you now use the Apple ID "bar@example.com" then you must either update the app using "foo@example.com" or delete and re-download the app using "bar@example.com".