You can not "dry Age" meat in a standard home fridge. Your fridge is just a large de-humidifyer. You can certainly dry the meat by allowing some of the blood to evaporate but the process of dry aging is a completely different beast. If you've ever been in a steak house with a dry aging room you may have noticed that it's separate from the standard walk in cooler. Temperature and humidity is tightly controlled and some dry-aging rooms are even lined with salt. Dry aging takes at least two weeks to a month to get appreciable results. This simply can not be done at home in your fridge.
The notion of wrapping meat in cheesecloth or worse yet towels in your home fridge is a great way to grow bacteria. Of course all meat is decaying animal flesh and has some bacteria but I've seen the article your talking about and others and IMO it's just not a great idea for a home cook.
Having said that there's no reason not to allow beef to dry in the fridge for a few days. This really reaches a point of diminishing returns after a about three days. Flip the meat at least twice a day so both sides dry out and change or wash and dry the plate or what ever you have the meat on each time you do this.
If you buy sub-primal cuts such as tenderloin, rib eye or strip loins leave them in the cryovac for at least two weeks before you cut them into to steaks. This is wet aging and utilizes the enzymes in the blood to age the meat. Because the meat is air tight in cryo this is safe and a far better way to age meat at home.
I tend to wet age for three weeks and then allow the sub primal to dry in my fridge for two days before I cut steaks.
Dave