The show_vl_tabs setting is of course a calibre-wide setting, not specific to a particular library. It is set in
Code:
[configuration folder]/gui.json
Assuming all libraries are restored to the same location on the new computer (requires using the same username, usually), then copying over the configuration folder should work perfectly.
Otherwise, the list of libraries will report your libraries as missing and ask you to select the new location for each one. That *should be* the only compatibility issue. While not "officially" supported, it is a pretty darn good bet.