Nope, this is a new system altogether. The older phones used a flash counter stored in flash memory so as long as you could find the flash counter's location, you could reset it. E-fuses are basically just that, fuses. They come from the factory in one state and are permanent. Also known as one-time programmable read-only memory (OTP ROM). When you trip the Knox counter it blows a permanent fuse in the CPU. Now some users reported that they had their Knox counter reset at a store - there could be another section of the OTP memory used for some other value that tells it which OTP location (which "fuse") is the one holding Knox flag status and by burning another fuse could reset the counter, at least until every fuse has been blown (usually there are many hundreds of KB OTP memory so it's a big number, depends how they've programmed everything, also the knox status is only 1 or 2 bits - kernel and recovery flags).
That said nobody knows how exactly it works, we don't have source code for bootloader so right now there's no known hack. If you look in this forum there's a bounty of over $2000 for anyone who manages to figure it out as it's obviously something people want. Personally I don't really care, I blew the knox flag soon after I got it so I could flash a recovery and kernel.
Samsung Galaxy Note 3 SM-900T 32GB
Samsung Galaxy Note SGH-i717 16GB
HP TouchPad 32GB
Archos 43 Internet Tablet - 16GB + 32GB mSD
Dell Axim X50v - 128MB + 16GB CF