It seems that your question is on whether you need to fill out timesheet or not, because you are an exempt employee.
To request employees to fill out a timesheet is a management tool of the employer. It does not mean that the employee will be reimbursed if the employee works more than 37.5 hours or 40 hours. Timesheets serve many functions. Many industries bill hours to clients so that they have the employee fill out timesheets by project, by content, etc. Therefore, even attorneys, computer programs, and other professionals earning more than six figures need to fill out tmesheets. Physicians and hospital technicians, for another example, even may be paid more than non-exempt status wages also need to fill out timesheet. Nowadays, the timesheet is most likely entered through a certain software. The employees cannot just show up in the hospital to work at their free will and schedule without traceable records.
In addition, to track whether we have work enough hours to earn the sick and regular leave hours, there must be a certain system to keep time. Therefore, almost in all types of organizations, employers require timesheets filled out by the employee for one reason or another. At least, the employer will know and account for, to themselves and possibly others, where their employers are at all times.
Please feel free to follow up.
Fiona Chen, MPA, Ph.D., CPA, ABV, CFF, CITP