I don’t know about LastPass but 1Password has the same deal and they aren’t tied to eachother, it’s not an account you create under their tenant it’s just a link you can generate that makes the 1Password for Families plan free on your account as long as your employer is paying for the corporate one.
Yeah I mean do whatever you want I just wanted to clarify that they aren’t linked in any way other than the cost, it’s not like your employer can manage your personal account.