Has Anyone Separated Project/Tasks from the Timesheet?

Summary

We're wondering if other organizations have basically two timesheets, one for project time and one for payroll time

Content

We're looking into separating project/tasks from the timecard, and accounting for that project time via App Composer or another application.  We'd still use the timecard functionality in HCM to transfer to payroll, but our project hours worked would be tracked separately.  Has any other organization done this?

Our goal in separating is to leverage the timecard features like responsive UI, easier schedules from employees to track, and better compliance with project time recorded.