+1.
Consider the thermodynamics of what's going on. If your mash is at protein rest (lets say 40C?) and you wish to ramp up to about 60C, the heat flux through the copper coil is going to be fairly slow because the rate of heat transfer is affected by the difference between the two temperatures. If you wanted to get from 40C to 60C *really* fast, in theory you could pump a crapload of heat into the HERMS such that the HERMS water was, say, boiling, or even greater than 100C. This would cause your overall mash temp to increase greatly and much more quickly, but the issue with HERMS heating is that you are only heating a small portion of the wort - such to raise the bed quickly, your wort exiting the heat exchanger would likely be well over the temps required to destroy the enzymes.
Assuming you have got your desired flow rate, the only two ways to equilibrate the temperatures quicker is a) to raise the temp of the HERMS vessel, which is bad for the aformentioned reasons, or B) increase the surface area of the heat flux, ie make a bigger HERMS coil.
As previously mentioned however, the temperature of your overall wort is not as important as the temperature of your mash tun. The reason for this is: you are more interested in the temperature of the
liquid rather than the
solid. The reason is that, you should be extracting your enzymes (water soluble) into the wort which is where it does its work, not inside the grain (mostly). As the wort circulates and consumes starches to make sugar, more starches will be brought into solution by the wort and recirculated.
The best way to consider a HERMS temperature is to forget the grain even exists, and consider how fast it takes to heat up the liquid only, ie at the HERMS output point. If this gets up to temp in a satisfactory time, then you've achieved what you wanted to.