It is true, but for Johnny Normal it makes little difference (read 'no difference').
For pro racers, serious amateurs and equipment fetishists it offers an enhanced performance envelope and significant advantages over any cheap old crap the other chap is using....
In my experience they are fine as far as puncture resistance goes, as the issue is more what penetrates the outer than what penetrates the tube.
If you want to save weight, eat fewer pies.
If you want to minmise rotational mass, go and work for NASA or something.
It's just a bicycle.
I hope I have helped but I fear that perhaps I have not.