I highly doubt that Thomas Clarke, an experienced engineer, would use Q to represent COP.
They're not unrelated in the right context. Q as a ratio of powers (or energies) is used in hot fusion, and it's called the "fusion energy gain factor". Here's an unsolicited lesson in COP, Q, and ignition in power generation technologies. Enjoy:
--
1. Refrigeration, air conditioning and heat pumps
In refrigeration or air conditioning, COP = Qc/W, where Qc is the heat removed from the cold reservoir, and W is the input work, usually electrical energy used to run a compressor. In a heat pump it's COP = Qh/W, where Qh is the heat delivered to the hot reservoir.
--
2. Overunity devices
Cold fusion and other "overunity" fantasies have adopted COP to mean (as nearly as one can determine) COP = Qout/Uin, where Qout is the total heat delivered to a reservoir, and Uin is the total input energy in any form, usually electrical energy for electrolysis or for resistive heat.
COP > 1 indicates generation of energy within the device attributed to nuclear reactions in the case of cold fusion. This is often claimed, but not yet accepted outside the cold fusion community.
(It's not entirely unambiguous, because the electrical energy is often generated from burning fuel at an efficiency of 1/3 or so, so if one compares output thermal energy with the amount of input thermal energy necessary to make the electricity, one should really multiply the input by 3. But that's a quibble, often abbreviated "Q")
--
3. Hot fusion
In hot fusion, the "fusion energy gain factor" is represented by Q = Pfus/Pheat, where Pfus is the power produced by fusion, and Pheat is the thermal power absorbed by the plasma required to maintain the plasma in a steady state.
Q > 0 indicates generation of power by fusion. This first controlled fusion plasma (Q > 0) was achieved in 1958.
Q = 1 is called breakeven, even though it does not represent ignition (self-sustaining plasma). Since much of Pfus escapes (in the form of neutrons for DT fusion), Q > 10 (some say 20) is required for the plasma to sustain itself. Q=1 has been reached (or at least claimed) in 2012. Ignition (Q > 10) is still a dream, but is expected with ITER some time in the 20s. (Maybe sooner if NIF gets enough funding.)
--
4. The relation between Q and COP
The connection between hot fusion's Q and cold fusion's COP is not simple. But since all the input energy in hot fusion experiments eventually ends up as heat somewhere, the total generated power would be Pin+Pfus, and so
COP = (Pin+Pfus)/Pin = 1 + Q*Pheat/Pin.
Therefore, if Q > 0, the COP > 1. So, using the cold fusion definition, COP > 1 is achieved in essentially every hot fusion experiment.
But Pheat/Pin -- the efficiency with which energy can be delivered to a plasma -- is a very small number in hot fusion, definitely less than 10^-3, and maybe as low as 10^-5. But no one in the business really cares about Pin, because once ignition is achieved, Pin is no longer needed. That is, the plasma sustains itself, and an arbitrary amount of power can be generated. That's the ultimate goal.
(Now, it's not quite that simple because the output is limited by accessible fuel, and in inertial confinement fusion (ICF), even complete consumption of the fuel in a pellet will not generate as much energy as required to ignite that pellet. Somewhat different limitations exist in magnetic confinement, but the point is, ignition is not the final solution. Still, once ignition is achieved in principle, ways to scale up the fuel delivery are expected to be rather more pedestrian type engineering problems.)
So, that's why the COP is a pretty useless figure of merit in hot fusion, because it gives no indication of how close we are to the all important ignition. For that Q is a much more useful metric.
Likewise, in cold fusion, far more attention should be paid to what is needed to reach self-sustained operation (zero input). Not only would that make a far more convincing demonstration, but a self-sustained device would finally be more useful than a heat pump. The problem is, to identify a metric that indicates the proximity of ignition requires knowledge of the process, and no one seems to have a clue. Even so, if it's just a matter of maintaining a certain temperature as has been claimed recently, then a COP > 2 should make ignition possible. And that's why no one should believe a claim of (thermal to thermal) COP > 2 if it still needs an input.