Is this the same as what is known as a "rabbi account"?

We have a church in the area that pays the pastor using what they call a "rabbi account".

On a monthly basis the church puts a certain amount of funds in a checking account and the pastor draws funds from that account for salary, expenses, etc. The account is totally under his control. There is no required documentation of how the funds are used.

I am been researching "rabbi account" and always came to information about Housing Allowances.

So based on this article, is this truly what it is all about, noting the total salary as part of the housing allowance?

Thanks in advance for any response and for the great and timely article. God bless you.