A subscription for Object Desktop gives you 12 months to download and install any and all of the included software, and any and all updates to it/them in that year.
Those products are then yours to keep and use 'forever'. Provided you have retained the installers on your computer you will always be able to install/use them.
Once the subscription expires the only difference is you will not receive updates, nor will you be able to access the software still from the site [which will be redundant as you will already have them backed up on your machine]....