I read in another post that backing up both is copying the same information, just that you have the option to restore an individual mailbox if you so desire
That is correct, the information is the same. The only difference is that when you do a backup of just the information store it grabs the store(s) and all the logs. This is probably where you are seeing the difference in size. It also grabs all the hidden items that a mailbox backup won't do. It is very normal for the backups of the information store and mailboxes to be different sizes.