The fluid circulates in a up down motion, and not in a loop. 1000's of applications of the brake pedal every year keeps the fluid will mixed.
Sure, you can pull the reservoir off and either replace it, or toss it in the dishwasher too. Cleaning a master cylinder reservoir isn't rocket science and requires removing the reservoir, which is beyond the capability of too many, as is a proper bleed, or simple brake maintenance. So, I am not going to recommend it for the foolish masses.
Siphon/refill your master cylinder at every oil change. If your brake fluid is green, consider once every weekend until you don't see any more green. Use a quality brake fluid. It'll slow clean itself. And, if you haven't in a while, after several siphon/refills of the MC, consider a full 2 man brake bleed... 4 ounces out of each bleeder all around, and repeat another 4 ounces. Obviously, after every pad/shoe or component replacement, bleed thoroughly too. Don't be a hack.
I'd even consider replacing the degraded cap that might be leaking 'humidity' into your master cylinder.
There are plenty of good DOT3 brake fluids at your local walmart and autopart store. Use Gunk, Prestone, Valvoline, Lucas....
If your budget allows, grab the DOT3 from the dealer, like Honda, Toyota, or GM. I have Honda brake fluid in my Toyotas, Hyundai, and Kia, Motorcraft in my Mazda, and GM brake fluid in my VW. Plain ol' DOT3 in the entire fleet and have no need for imported, colored, boutique brands, or BS.
None of my brake/clutch fluid reservoirs are green. Color change is a failure. You could use copper or moisture testers to see if either can pinpoint the problem. I would say its start with neglect and continues with inaction.