You are right that salary and take home pay aren't the same thing. However, I assume you would agree that an increase in salary leads to increased take home pay (all else equal) just as a relevant tax cut would lead to increased take home pay.

My original point was that there are more equitable ways of transferring wealth to US citizens than forgiving student loans. I named a couple possibilities and I'm sorry you got caught up on a series of non-sequiturs. Like I said in my last reply, I'm sure you are creative enough to come up with your own ways in which the government could equitably transfer wealth. Forgiving student loan debt has to be one of the least equitable ways.