Rob, certain people see this whole history very differently.
The True Hoover was from 1989 and prior. Then Maytag took over. While many of us do like a lot of products that came out during that time that Maytag owned Hoover from 1990 forward we also become aware that Maytag really worked to destroy Hoover image, by cheapening and cutting costs everywhere they could to include not maintaining factories. This we learn is one of the reasons that North Canton, Ohio is not what it was as Hoover factories are now closed. I've heard those factories are so worn down, they're just too outdated for current production and in some ways dilapidated and unsafe to work in. There condition is too far past what companies would consider to put repairs into and have reached that point of complete demolition and rebuilding to work and make safe.
There are still some Maytag products around some good designs and some very bad. TTI still hasn't owned Hoover that long for us to judge exactly what products are "theirs" for the real Hoover that they want it to be. TTI recieved no paperwork or any means of history to know anything about Hoover and the company they were before Maytag.
Back to the thread at hand:
There are several different T series models and I know that there are several different brush rolls for them as well. So depending on the brush roll, and if it has the brush roll on/off pedal the belt systems will be different. Additionally neither Target, Wal-Mart, Sears, Giant Food stores or many other big box stores carry genuine Hoover products. Wal-Mart is Arm & Hammer, Sears and Kmart carry Sears Ultracare, Best Buy and Lowes are 3M Filtrete, Target, I've seen many different brands usually Honeywell, Home Depot is Micro Clean by Home Care Industries. Many food stores carry Rug Doctor, Giant Food stores carry PurePower, Wegmans Food Store carries 3M Filtrete.
Hoover vacuums should use genuine Hoover belts available from many online sources, Ace Hardware, True Value Hardware or your local authorized Hoover Service Center.
I think the primary question is belt material and design. A Kenmore Power nozzle has a very thin belt. But it is composed of several different fibers in there and it's a serpentine belt. The serpentine belt in the Kenmore power nozzles is designed to fit the CenTEC CT20DX head which is the power nozzle manufactured by CenTec systems and branded by Kenmore for use on the Lime Green, Tangerine, White and Blueberry current market models. This is just an example.