Thanks for the testing, bap!! I KNEW the Efest and MNKE batts were pos and you proved it.
..Is there any advantage (in a Mod) to using a 60C versus a 25c.
As long as the 25C battery can supply enough current for the demands of the load, there is no advantage for having a 60C rated batt vs a 25C rated batt.
BUT you have to look at the whole picture for that 25C rating - you may find a 25C rated batt may not be adequate for you and your vaping needs.
First, look at the batt's capacity to determine the amp value of that 25C rated batt:
500mAh x 25C = 12.5A
1000mAh x 25C = 25A
2000mAh x 25C = 50A
As you can see at certain capacities you can opt for a lower C rating, and at certain capacities you may need a higher C rating.
Then determine what demand (load) you require. I normally pull around a 4A - 5A load @ 15W, sub ohmers are pulling 2x that and some are pulling a LOT more and @ 30W - 50W. You want to choose a batt with a rating that far exceeds your load requirement to have it operate efficiently without stress.
Then consider the max current of the converter you're using. For the Raptor which can push a 20A output, I choose batts with a discharge rating that either equals, or more preferrably exceeds, the max capable of the Raptor. For me and my vaping needs, that's overkill, but for sub ohmers and their vaping needs, it's not. BUT that converter has the capability to output 20A if the vaper pushes it to that - and the batt should have the capability to keep up without stress.
Lastly, and this prob should be firstly

look at the internal resistance of the batt. A batt with a high internal resistance, no matter the C rating, is going to give you shorter vape run times and cut out at higher volts than a batt with lower internal resistance. And more especially so if you vape at higher watts or volts.
For example, as bap shows us in the OP, the MNKE batts have horribly high internal resistance - the Efest batts do too. Those batts are going to cut out on you at 3.8v - 3.9v unloaded (drops to 3v loaded) because of their high internal resistance - no matter it has a high amp capability - vs a batt like the Sony with the exact same amp capability that has a lower internal resistance and will cut out on you around 3.2v unloaded (drops to 3v loaded).
I don't know how many times I've been asked what's wrong - the DNA won't fire and the batt has lots of volts left at 3.8v. Then I find out that they're trying to push the DNA at 17W with an Efest batt.
So you can see with internal resistance, a 30A Efest batt that cuts out at 3.8v is going to leave you frustrated vs a Sony 30A batt that cuts out at 3.2v. BUT they both have the same 30A rating.