Financial Aid and Taxes

Ok, another one. For someone claimed as a dependent, I keep reading that

“Your standard deduction may be reduced if you are claimed as a dependent on another person’s tax return. If you were another person’s dependent during a Tax Year, your standard deduction will generally be limited to the greater of $1,050 or your earned income plus $350.”

So are we wrong in assuming that our dependent college students get the 12K standard deduction?