improper batter interpretation

[bniu]

hey everyone, i just want to check if my interpretation of the improper batter rule is correct here across softball and baseball:

in all cases, if coach elects to take the play/doesn't appeal, proceed normally...

if coach correctly appeals, proper batter out, any play made by improper batter erased/runners sent back unless they stole on their own, next batter is whoever follows proper batter plus:

FED Softball: outs made on the play stand except if against batter
ASA: all outs made on the play stand
FED Baseball: same as FED Softball?
OBR: outs made on the play erased
PONY SB: same as FED?
PONY BB: same as FED?

i really wish all the organizations across both sports would get together and write out a common rule book (obviously with some applied only to SB or BB)