Corporate fitness says nothing about the content of fitness. You are free to choose the same form.
The term originated because employers and employees made agreements resulting in a name that provides financial benefits to both.

Get moving, the Tax Authorities help pay.

Employees can take out a membership at any fitness center and have this deducted from their gross salary. Naturally, an employer must discuss this with their employer as a secondary employment benefit. Under the so-called Work-related Costs Scheme, there is no longer an obligation to meticulously account for every deduction to the Tax and Customs Administration. As long as your expenses fall within the fixed allowance, you do not need to account for these expenses to the Tax and Customs Administration.
Your employer, or if you are an employer, your accountant can provide you with further information regarding this.