the car maker intends the advice pressure for GAWR of vehicle and after 2000 even rear pressure needed for the maximum load of tires, called reference pressure ( Pr) in the official universal formula for calculating loadcapacity for a sertain pressure, wich I once got hold of and went running with. This is not the maximum pressure of a tire ( Pmax) .
so if you searched this forum right , you should have stumbled on my reactions with also link to a map on my one-drive with extra save pressure loadcapacity lists. but OK I will give it again here.
Extra save pressure/ loadcapacity-listsYours 44psi maximum pressure makes me conclude your tires are Persons car tires ( P-tires), they only give Pmax on them ( also for XL/Reinforced/Extraload). From LT tires C-load and up they give the Pr on sidewall mostly like this "maximum load xxxx lbs AT yyy PSI( Cold).
For P-tires Pr is in American system always 35 psi/2.4 bar and European system 2.5 bar/36 psi with exeptions to lower.
For XL/reinforced/Extraload Pr is 41 psi/2.8 bar (USA always) and 2,9bar/42psi( EUR with exeptions 2.8/41 and 3.0/44).
so your given advice is rear for Pr of tires so maximum load of tires up to 160km/99m/h ( Q to V speedrated).For higher speed Pr has to be highened up with a system depending on speedcode.
So the 35 is already for probably even higher load then GAWR rear and 44 psi most likely gives bumping.