I believe that the inexpensive exothermic welds being discussed are the One-Shot by Erico or the Uni-Shots by Harger. I use these quite often, anytime I must connect to a ground rod outside. But if memory serves me correctly, both these inexpensive tipes are used for rod to conductor connections. I think that for conductor to conductor or other configurations, you must use the standard graphite mold and charge version. I couls be wrong, but that's all I could find.
I think I see what you mean. I initially thought that the tap connection had to be irreversible. That rule, 250.64(C) applies to a splice in the GEC.
250.64(D) allows taps to be made to the GEC by conductors from a second enclosure without saying how, just that the GEC must be installed without a splice or joint.
I was so focused on (C) that I neglected to carefully read (D).