If you have iOS 6.1.3 blobs saved via Cydia, you can restore to 6.1.3. Or any other SHSH blobs with APTickets that's not iOS 7 for the matter, though 6.0 - 6.1.2 blobs saved using Cydia will not work because Saurik did not implement an upgrade to the APTicket algorithm until much later in iOS 6.1.3. If you don't have blobs, 7.1 is the only option. Frankly, even if it's a tethered jailbreak, you rarely turn the device off or reboot it, and when you do, it's usually when you're next to a computer but I can see where you're coming from with regards to the whole tethered booting. I'm not sure if the semi-tethered patch works on iOS 7.1. I don't recall it working on iOS 7 originally for Ragebreak when it came out, so probably not. Otherwise, you'd at least get some functionality