No, equipment used by remote workers is NOT theirs to keep, no matter how much they used it or how convenient or even important it is to them, unless and only if the company says they can keep it. The equipment belongs to the company; it was loaned or provided to them for a specific purpose--so they could do their work for the employer. When employment is over--or earlier, if while still employed, the company wants the employer to return its equipment and buy his/her own--it must be given back. Again, it belongs to the company if they paid for it, even if it was shipped directly to the employee; they have the right to their property back.