None of the ‘etc’ includes things that would properly support separate work vs personal profiles to the point that your company doesn’t need to access your personal data to inspect it in case of discovery requests / court order. Having proper separate profiles also allows sync so that an office PC can use the work profile only, while at home you have access to both work + personal and your work profile syncs with that of your office pc.
Yes. Discovery requests are going to be based on device, not browser profiles. If you use a personal computer to access work things that computer is going into discovery. Do not pass go. Do not whine about your browser profiles. End of argument.