Sorry, but you don't understand tires or the tire industry. There are standards for a given size and type of tire. The pressure on the sidewall is the maximum inflation pressure for the tire, but not necessarily the correct inflatin pressure for any given application. There are industry standard load vs inflation pressure tables for any given type (p series, lt, etc.), size (P195/70R15, P335/65R16, etc.), and load rating (98, 105, etc.).
Sorry, but you are the one who is wrong. Your basic mistake is thinking that it is a "44 psi" tire. The 44 psi pressure is not the correct inflation pressure, it is the maximum inflation pressure. Ford doesn't recommend buying a 44 psi tire or a 35 psi tire. They recommended a certain size and load rating for the tires and a pressure appropriate for tires of that size and load rating. For a 2004 Taurus, the standard tire was a P215/60R16 94T. The P215/60R is the tire size. the "94" is the load rating. The "T" is the speed rating. The Ford pressure recommendation is appropriate for any P series tires of the correct size (215/60R16) and load rating (94 = 1477 lb). The Harmony tire in the OP happens to have a maximum pressure rating of 44 psi. The maximum load rating for this tire is 1477 lb (and it actually can support this weight with only 35 psi, the 44 psi maximum is to allow higher pressure recommendations for substained high speed operation). A 2004 Taurus has a curb weight of around 3400 lb and a maximumloaded weight of less than
4000 lbs, or less than 1000 lb per tire. I don't don't have a copy of the load inflation table fore this tire size with me today, but I am sure that the tries are rated to carry far more than 1000 lb each when inflated to 30 psi. One thing I did notice - the Haromony tires in the P215/60R16 size are only "S" rated tires (112 mph). The OE tires were T rated (118 mph).Please study the situation before giving out more bad advice. Start educating yourself by reading the following references (I have copied information from the major US tire manufacturers):
"Proper inflation is the single most important part of tire care. The inflation pressure on the side of the tire is the MAXIMUM operating pressure. It is not necessarily the right inflation for your vehicle. Always use the inflation recommended by the vehicle manufacturer. You can find it in your owner's manual, posted on the edge of the driver's door, on a door post or on the inside of the glovebox door."
"Vehicle manufacturers list recommended tire pressures for original vehicle tires in the owner's manual or on a placard on the end of the driver's side door or in the glove box."
"There is no universal "right" pressure for all tires. The proper inflation level will depend on what tires you have, and it may even be different for your front and back tires. To find the correct pressure for your tires, look at the tire information placard that's mounted inside the frame of the driver's door, in the glove box or inside the fuel door. You can also get that information in your vehicle owner's manual and from your tire dealer."