if I login into another computer will I still be able to see my local assets?
No, the local assets are stored in a local place of your computer. If you want to migrate local assets to another computer, I would suggest you do it manually. For reference, D5 Render 2.1 | Adding models to local & Local asset library - YouTube
I’d like that feature to be available. It will be invaluable to students, and firm users since we will all be able to access our own styles of assets anywhere we go. This will definitely be a game-changer.