Contrary to popular opinion, 2nd HGs can and do fail. It's impossible to confirm on the web. Your next test should be the radiator hydrocarbon test, the kit is available at Autozone. Good luck.
I must have missed it, did he state (jump in OP - HG swapped?) that he was running a replacement HG?
No arguement from me that it's possible to pop a 2nd gasket (improper install, bad parts, flat cooking the motor in hotspots the temp guage doesn't see, endless possibilities really)
I'd do a HC test too - my experience with 1FZ gasket is the coolant to combustion chamber, so this test is the "quick & dirty" to see if you go buy a lottery ticket or a 6 pack & asprin.
You getting sweet smelling exhaust on startup (if running antifreeze currently)?
Generous steam on startup - especially after periods of rest & at low humidity conditions?
Knock sensors tossing codes at the "check engine" light?
Can you post a pic of the sludging in a accurate color? Volume?
Getting any "milky" oil on the dipstick? Under the oil filler cap?
I don't want to overly scare you, but I popped my headgasket about 300 miles after doing a powerflush on my coolant system just trying to get rid of a green coolant that had a bit of blue/purple tinting in it so I could just go back to real Toy red - I had a original design gasket & was getting a bit of white/grey sludge in the bottom of my overflow bottle I know/was taught to be a sign of exhaust gas solids migrating into the coolant & a early warning that a HG is getting ready to give you drama.
The good news is if you are popping a gasket the current 1FZ gasket is a redesigned one that gives far greater rates of reliability, if you need to go down that road. Some will even call OE headgaskets a PM item & after my experience I agree if you haven't gotten a "lucky Monday motor" & put ~1/4 million or more miles on it.
We all have our own opinions there & I'm sure someone will read that & say "Yer an idiot to pull a working gasket" - I venture it's all in how you view your motor & your expectations for reliability from your 80.
I've been shown more than one headgasket that is given an update due to the dis-similar rates a motor heats up - the "ends" heat a slight bit slower than the area inbetween cylinders since the inner areas are essentially bookended by heat sources where the endcaps aren't & have some extra metal on the endcaps too.
The fatal spot on headgaskets is almost always the endcap cylinders, due to above explanation, and the guys who taught me that weren't surprised when I brought my worn out headgasket to work & it was as they were betting. #6 cyl combustion chamber to cooling jacket, like everyone else.
HTH - and you might be golden, the good power thing doesn't sound like a fully blown gasket - that HC test will tell you everything though.