I've probably said this before, but I'll throw it out again. Let's start with the question being asked, "Can I arrive at meaningful results by doing long term listening rather than short comparisons?"
Start with some EQ. Put in a rise somewhere, maybe the top octave. Wherever. Do a rapid switching comparison while reducing the amount of EQ to determine the level at which you can't distinguish. If you have exceptionally sharp ears, it might be 0.1-0.2 dB, depending on where the EQ is. More normal ears can pick differences with very careful listening at 0.4-0.5 dB; I note that at these very subtle differences, the noted change might not sound like EQ, but a difference of some sort will be heard.
So let's say that for the chosen EQ, you find that you're good but not a prodigy and 0.4 dB is the smallest level you can distinguish. Let's call flat condition A, and EQed condition B. Get as familiar as you like with the two sounds until you're ready to start the test. Change volume as you normally would.
Have someone not in your presence make up a key sheet by doing 12 successive coin flips to generate a random table of A and B. Random.org is a good way to do this. I just ran twelve and got ABAAAAABBAAB. The person not in your presence will keep the key sheet until the end of the experiment.
When you're ready to begin the experiment, have a person not in your presence set the system condition. In this case, the first trial is A (make sure they go and do this even if there's no change and it's VITAL you not be present when that happens. Listen as long as you like, minutes, hours, days, whatever, changing volume at your desire, until you're ready to make a choice. Make your choice, record it, and have the system returned to A (or left in A, but the ritual still taking place so you don't know). When you're ready for the next guess, repeat this.
If you're persistent, when you're done, hand your score sheet to the keeper of the key sheet who will then calculate your score. At the end of your exhaustive months of long term listening and testing, you'll know if your acuity is better with rapid switching or long term listening. That will answer your question.
I would bet that if you make sure to keep things double blind, you'll not make it all the way through and figure out pretty quickly that the rapid method is far more sensitive.