I am not sure what to add there. Hopefully I don't muddy the water, but here goes.
The cetane rating is the measurement of how long it takes to cumbust when in a misted state. Kinda opposite of octane, or a flashpoint measurement of misted state. Too high a cetane rating and you have engine oil. Too low and you have gasoline. Just a measuring stick too make sure it is detonated not too soon or too late.
Btu is how much potential energy there is in the fuel, like calories in food. Literally how much fire you get from the fuel, and how hot it is.
Flashpoint is about the easiest to get. Put fuel in a shot glass at -50, keeping it stirred it up and place a lit match at its surface. (It won't light). Now raise fuel temp 1 degree at a time, the point it gives a little FLASH of ignition is its flashpoint. It's a point of reference, it's not misted like out your injectors.
So there is parameters all have to fall into, between X and y. How the fuel acts is going to very between them and how they interact with each other.
The following is for theoretical explanation. If you can't feel the difference of a plugging injector pump. Vs plugging injectors- don't try to diagnos your fuel by this information. Some race car drivers can tell the difference of fuels, the same guy can tell- it's the spark plugs or the plug wires, the distributor and coils are fine.
I've spent years playing with differences in fuels while knowing the exact differences and would fail a blind test probably 60% of the time. so...
Let's say you make some home brew and your cetane and flashpoint are perfect middle of the road. But with a low range btu count. The engine will run great off it and have wonderful fuel economy. Until you hook up a loaded trailer and drag it through the Rockies. Now your getting passed by everything in sight. Fuel economy plummets.
Now same perameters except a really high btu. Fuel economy will suffer even unloaded. and when you tow, it's not crazy powerful off the line, but good down the hiway. But the engine is quicker to overheat.
Balance the btu and cetane is moved around- slow acceleration, but quiet and smooth engine maybe a touch more smoke off the line. The other way and more pep, with some detonation, more "diesel clatter" and tad lower mpg. Sounds like timing you say? Especially us db2 guys? Exactly. The Injector is spraying st same time as always, but the fuel is igniting a hair sooner than it should, right on time, or a hair later than it should.
For the viscosity conversation, please see the same threads regarding engine oil- same same. Except unky-Sam helped push forward synthetic oil and is holding back synthetic fuel.
Jmjnet: cetane booster? Opposite. High cetane means longer time until ignition so actually opposite. But the general public doesn't get it so they advertise what sells. They can say boost up performance of cetane and it all lawyers argument for. There.
Your correct on alcohol and cleaners, with a touch of lubricant added in to try offsetting the alcohol. What's it really good for? Gelling fuel, or heavily carboned up or varnished systems. Yes diesel will varnish, just not as bad as gas.
I use it only when I have to- I bought an old generator that sat a long time- worked great. Travel from where #2 is sold and you fill up 2 tanks, then go hunting in an area you should have got #1? throw it in. It's a "oops" additive not a "long life" additive. Just like diesel911.
I keep a partial can of one type of another in my truck for a crazy emergency. One time I poured in 1/4 of a can on a trip. I am the first to scream at people no starting fluid in an Idi, yet next to the first can is starting fluid- incase of zombie day situations. Sometimes throwing away an engine early is worth dealing with the emergency. As a practice-no way.
Holy mackerel I talk a lot