I did some interesting research tonight.
I disassembled the entire skimmer once again and recleaned everything, but found nothing, it was indeed already 100% cleaned. So I reassembled it, and then placed it on my 10g tank full of 100% brand new fresh saltwater at the exact same salinity and temp as my DT, which also had the same brand of salts in it. Ran the skimmer, it to my surprise, it ran PERFECTLY! So, excited, and figuring it works now, I put it back on my DT. And once again, I get excited as I watched the skimmer work perfectly, BUT only for around 30 seconds. As soon as all the clean water in the skimmer was fully replaced with the DT water and no longer was a mixture of both, the skimmer overflowed once again just as bad as always.
So, I put it back on the 10g and ran it. Overflowed for around 15 seconds, then ran perfectly. I went back and forth 3 times doing this, and all 3 times gave the same results.
Overflows on the DT, perfection on the 10g. So I thought of another idea. I removed 5g of water from the 10g and put in 5g from my DT. The skimmer didn't exactly overflow bad, but it was overflowing never the less and skimmed bubbles which instantly turned to water.
That's another thing IDK if I mentioned:
The skimmer hasn't been overflowing with water. It overflows with a massive amount of bubbles, which THEN turn into water in the collection cup.
So I am led to believe, that my original theory was correct, and that the water in my DT is indeed so filthy, that my skimmer cannot catch up and operate properly. So tomorrow I am doing a 50% water change on it then running the skimmer and seeing if I have any luck with that. Fingers crossed. The dirty water would explain my immense nussiance algae growth this month too. And what with the skimmer offline, the water has just been getting dirtier by the day and even though two 5g water changes occured within one month, it apparently was not enough to keep the water clean enough for the skimmer to catch up.