I know at this point the thread is a bit long to go through, but DBSAR went through a lot of iterations. The “conical reflector at the top” and variations thereof have been done to death and he wasn’t getting the performance (not necessarily in terms of light output as we traditionally use the term, but in terms of glare and light angles) out of those configurations that he wanted.
That said, it seems like he came up with something interesting for the LT1 Mini that uses TIRs on the bottom and a flat mirror on the top. It does kind of make me wonder if something like that would have worked better for the LT1? Certainly a configuration with LEDs on the bottom would have provided for a much higher thermally stable output, as evidenced by other soda-can lights like the BLF Q8.