Is There a Locality Loophole?

If you assume that there is nothing that can exceed the speed of light in vacuum in nature, then there was no possibility that there was any information transfer between the parties. So they could not have got correlated about after the measurement was made. And this is very non-trivial to me in an experiment because you really need to make these things far apart and make the experiment quick. The theorem holds as long as you assume that your measurement settings are random. But it's a conditional statement saying that if your measurement settings were chosen randomly, then the outcomes will also be random.