Okay. 753 is heat treated (the presence of a 7 in Reynolds denotes this: 708 is also heat treated). 753 is not air hardened though (which means the stuff gets harder as it cools after welding).
653 is 531 front and 753 rear triangles.
753 is stronger than 531 (breaks after more stress), allowing a thinner lighter 753 tube to be as strong as a fatter heavier 531 tube.
853 is air hardened. It is also heat treated. 631 is air hardened but not heat treated (it is the replacement for 531 in an air-hardened age).
So, the strongest tubing of these is 853. That means that less steel can be employed to produce frames of equivalent strength.
How stiff a frame is will be down to how it is built (all other things being equal, a small 853 frame will be stiffer than a large one). Once you are into any of these complex steels, ride characteristics will be more dependant on the the way the frame is built rather than the the tubing. And even then, stuff like bars, stems and tyres will prolly make more difference.
There is an article online somewhere where a journalist rides three identical bikes made with different high end tubes (retro era). Any differences are lost in his subjectivity (the very fact of having to try and describe the differences renders them specious). Or in other words, only you can decide which is best for you. Which is pretty much what the OP figured out. (Some lighter forks on the 653 would be my choice. 653 is lush.)