I'll enter the fray, though at this point I'm not certain the good it will do. I can say with reasonable certainty that very little under $80 is going to qualify for mixing purposes (notwithstanding excellent deals). There are very nice sounding headphones below that level, but in general they're not going to be tonally accurate enough to create a reliable mix.
The Sony MDR-V6 is a very common choice in recording. I personally think there are better choices, but the V6 has been around for decades. Experienced professionals--not random Amazon reviewers--sing its praise. It's the cheapest you're going to come to acceptable reference quality from Sony.
This isn't about personal preference, "rich guy with expensive equipment" bias, or any other subjective things. Recording is one of the few semi-objective fields in audio. There are standards. If you want equipment that conforms to those standards reasonably well, you're going to have to pay a little bit for it. If not, then why would Sony sell anything higher end than the V150? Recording isn't like, say, a car, where as long as it moves and has four wheels and a steering wheel it'll work, and everything else is frosting. The bar is quite a bit higher than you seem to think. A "basic" studio tool is one that is tonally neutral and reasonably well built. The V150 fails on both counts, regardless of whether Sony, some people on Amazon, your mother, or anybody else says otherwise.
If something is popular, it says nothing about its quality or aptitude. The majority of people don't care about/aren't sophisticated enough to recognize truly good sound quality. They look to brand, image, marketing, and price to make their choice. Companies like Sony are well aware of this and market accordingly. The average consumer doesn't "need" good quality sound and wouldn't miss it if it weren't there. They'll happily buy something for $20 from a brand they know. Plus, if the blister pack says "studio" they'll feel good about themselves, thinking "If it's good enough for a studio, it must be good." Technically, you could use two plastic cups and a wire in a studio if you wanted. Nobody does, for obvious reasons. Sony hasn't lied, per se, but the claim is meaningless.
A recording engineer--regardless of whether he's a studio professional or a guy in his basement--does need a product with a certain level of competency. Refer back to the beginning paragraphs for more information.
I'm not sure how serious you are with all this--those other forum threads linked above make me wonder. But I gave it my best shot.