Yes, the person you responded to has it completely backwards. Strength training is important, but volume training is what will give you big muscles. Look for any body building routine(which is solely focused on aesthetics, and not at all focused on strength), and you will see that it has a very large volume. I lifted for strength only for 5 years and saw very little progress in aesthetics. I've seen more progress in 6 months of GVT(a volume focused training program) than I did in 5 years of heavy weight training.

Here is Kai Greenes(runner up Mr. Universe) take on the matter: https://www.youtube.com/watch?v=m8wZNGL4iA4 . You probably don't want to look like him, but you have to admit he knows what he's talking about.

Just google "volume vs intensity training" for a million hits on the subject.