That's still an office paid by your company, with all the benefits that go to the company.

The company I work for before opening a new office for their employer has to provide:

- security

- daily cleanings

- insurances for all the people working there

- reception

- authentication and authorization (badge readers etc.)

- secure connectivity and storage

- water, beverages, sometimes a cantine if the office is big enough.

That's by contract (at least my contract).

If they are really going through the route of paying for your coworking they should sign a contract, which means a lot of bureaucracy and most of all it would force the employer to always use the same space for at least a few years.

So the better way is to ask for a pay rise to pay it by yourself.

If you can pull it out.