long story short, if a computer doesn't have enough power for itself to run, then said computer usually sh!ts the bed
yes, that is a moron's answer...
some reasons why that that is a stupid thing to say to avoid less than 3 minutes of actually testing
it is possible for a battery to have enough power to start a car, but be a bad enough battery that it can be ever stressing the alternator. sooner or later you lose BOTH the battery and alt (which may or may not cause problems with computers)
a battery could have enough power to start a car, but it could be over charged because the alternator is failing. having a over voltage problem is just as bad for computers as not having enough power. if your alt was sending out too much voltage, it easily could have fried your brand new PCM (likely in the same way as your old PCM)
another long story short, if your going to come on to a forum and ask for help from people, then when people ask you to run very specific test, then you really should just run the test and give the results regardless of what your friends think. Unless of course your friend is smart enough to fix your problem for you, then by all means, ignore every one else but him. however I have a sneaking suspension that he is not capable of figuring this problem out.