it runs the same as its not running spot on, as something is not right, so its reverted back to a "safe" if you want standard programe, so unplugging things wont always sort it.
if for agrument sake the water sensor was at fault and you fitted a new one and it started running fine, and you unpluged something differnt you would then see a change, the fact somethings "chanegd" already unplugging more stuff insn;t highlighing the problem.
if you cant get it on a machine to test the ecu for fault codes your have to do it the hard (and sometimes expensive) way and replace the sensors 1 by one, fitting new or 100% fully known to work s/h ones