For Gen 6/7/8/9 Pokemon, is there a correlation between PID and Encrytion Constant?

[gamecubefan74]

For Gen 6/7/8/9 Pokemon, is there a correlation between PID and Encrytion Constant? Like if I were to change the Encryption Constant, would that make the Pokemon illegal? Also,  are all PID + EC combos possible to be generated by the game?

Edited March 27 by gamecubefan74

[Kaphotics]

The answer to your generic question is "it depends".

Truly random encounters (csprng for every call): no correlation

Random-enough encounters: no correlation -- examples are gen5 wilds that use a 64-bit RNG but only have 32-bit PID, nature,gender,encounter rolls

Somewhat-random encounters: correlation. can figure out an RNG seed quickly (Tera/SWSH raids), or via bruteforce (shiny dynamax adventure raids, PLA captures, BDSP breeds)

Others generate with fixed data (like HOME gifts), and must match what the encounter requires.