This is a bogus claim, because the alternative is simply not having the money. There are plenty of checking accounts with nonzero interest.
An example to make things clearer:
Imagine that you write 12 checks per year (one a month), each of which is in the sum of $1000. In case A they get cashed immediately in case B they get cashed one year later.
Case A: You make zero interest, each month $1000 is deducted from your checking account.
Case B: For the month you make $1000 * 1/12 of a year's interest. The second month $2000 * 1/12 of a year's interest. And so on until the 12th month where you make $12000 * 1/12 of a year's interest. Then things begin declining as the money begins getting taken out. (so month 13 is $11000 * 1/12, and so on). After 24 months, your $12000 has been deducted. However, assuming an interest rate of