I believe the flame pattern is too large for the pot. IE, a lot of heat is being wasted up
the sides of the pot.
I can consistently get a boil with 1/2floz and 2 cups of 40F water using a different set up, so, I believe this one is simply out of balance. (Actually, on 6 runs the average was .43floz with the highest being .47floz.)
Anyway, this tells me that there is too much pressure on the jets, pushing the fuel out too fast. A couple of try's, but I think the stove is too large for the pot...too much of the
center of the pot is covered and only the smaller edge is left to heat things.
For what you have:
1) Ream the jets out at an steep angle upward. Increase the hole size slightly. This will have the effect of directing the fuel upward, rather than out. But, the increased flow rate may have minimal effect on heating the water, since the heat will still roll off the edge of the pot before transferring heat.
2) Opening the jets a bit will reduce the pressure of the fuel. This will not reduce flow but may reduce the flame spread diameter. Again, the pot size is an issue. Or, simply add more jets. This will reduce pressure, but allow about the same gas mixing.
The small pot is really the key point. A wider pot, and shorter would be better. Or, looking at it from the other side, an open topped burner, but then you need a pot stand.
Try this, a K-Mart grease pot over the burner with 2 cups of water. This will let you definitively determine if the stove is being inefficient, or, the pot is just too small
using the stove you have. Also, Ti is not the best heat conductor, aluminum would be better.