Auto unlock folder and Dropbox

Hello,
I've a folder that is auto unlocked when I login and this folder sparsebundle file is in Dropbox. The doubt is do I need to lock the folder before using the folder on another Mac or just by shutting down my Mac it is safe to use on other?
Scenarios:
1. Login -> auto unlock -> work on folder all day -> shut down Mac.
2. Login -> auto unlock -> work on folder all day -> manually lock folder -> shut down Mac.
Do I need to manually lock the folder before using it on another Mac?
I've a folder that is auto unlocked when I login and this folder sparsebundle file is in Dropbox. The doubt is do I need to lock the folder before using the folder on another Mac or just by shutting down my Mac it is safe to use on other?
Scenarios:
1. Login -> auto unlock -> work on folder all day -> shut down Mac.
2. Login -> auto unlock -> work on folder all day -> manually lock folder -> shut down Mac.
Do I need to manually lock the folder before using it on another Mac?