Only if you like your data to not be corrupted, or at least if you want to know as soon as possible so you can restore from backup / minimize data loss...
The Check Database Integrity task checks the allocation and structural
integrity of all the objects in the specified database.
You could check the database for consistency after you know that there's a problem, but that's rather like washing and waxing your car after it has set on fire. The Integrity check is an early-warning and preventative maintenance step.
Responding to the title:
Only if you like your data to not be corrupted, or at least if you want to know as soon as possible so you can restore from backup / minimize data loss...
From Microsoft's documentation:
You could check the database for consistency after you know that there's a problem, but that's rather like washing and waxing your car after it has set on fire. The Integrity check is an early-warning and preventative maintenance step.
Make a scheduled task and move on with life.