AFAIK, you would need to set up a general user area where all accounts have access. You can arrange that via the control panels. I'm on a mac at moment so cannot recall which control panel to use, may also depend on which windows version you have, but similar. You give the area or parent folder Shared access to all user accounts.
Then, use a folder within that area as the download location. This would need to be set for each user when they start up LW.
Not sure if you mean LW starting as soon as people log in to their accounts or boot up the computer, but that can be achieved via LW's menu bar, Tools > Options > Advanced > System startup.
* Just searched my computer & found an old image I posted some years ago. This was from Windows 2000. This is the approximate idea how to go about it. But you would create a new folder I should imagine, outside of user account areas at best such as an alternative partition area. Else near the top of the C directory.
This will share the same download folder & incomplete files & incomplete preferences. However user preferences will need to be duplicated from each user account. They cannot be shared as far as I know. So you would need to go to each user account & set LW options identically.