CHT???
Unless y'all's Lycoming engines are WAY different from our Seminoles', I think you may be mis-informed about the placement of the CHT.
I've wondered about this for some time, too, and upon consulting our mx staff, they said that in fact all 4 can be primed, and in some instances in northern climates, all 4 are! ...for those cold starts...
Our Seminoles have the Lycoming O-360-F1A6 engines and the manifold has two ports at the cyl head (one upper and one lower). The lower ports are where the prime lines are plumbed, and the upper is plumbed for the MANIFOLD PRESSURE GAGE in one cyl, while the others are plugged. Typically, the manifold press. gage is located @ the cyl that is the furthest from the carburetor....that'll be the one that experiences the greatest amount of headloss (pressure drop) due to the length of manifold between it and the carb.
I may have to clear something else up, too...the prime and manifold pressure taps into the intake manifold, not the cylinder head itself. They tap into the intake manifold just upstream of the intake valve. A lot of folks think the prime goes directly
into the cylinder itself.
The CHT probe is threaded into the meat of the cylinder head itself, typically on the bottom of the cylinder head. There is a well drilled out in the head so the probe's thermocouple gets in contact with the metal that is very close to the combustion chamber. I believe ours are mounted on one of the aft cylinders maybe because they run hotter being behind the warm air flow from the front cyls, and possibly a reduced air flow. I'm not sure...
One more thing. Our local feds at a recent safety seminar said they much prefer starting engines with prime instead of the accelerator pump. I started doing this on the old seminoles with pump primers and found most of the primers to be dry due to inactivity! The new seminoles use the electric fuel pump and solenoid valves to prime. Engine starts have been much nicer lately!
I hope I cleared some things up....now another pet peeve...the governor...uh, maybe next time... 1:1 gov-prop