Do I have to show my business affiliation on my profile?

You can hide the business affiliation at the top of your profile by selecting to do so here:

Your business affiliation will still show under the Affiliations section of your profile, as your Employer. This can’t be hidden unless you are removed as an employee of that business page.To change which business is marked as your employer, or if you wish to remove your business affiliation, please submit a support request.