The main advantages of EFT are:
1. if the final settlement amount has changed due to mileage or passage of time, you will get the correct payment the first time, not a check, then a second check in the mail, or, if the adjustment is the other way, not getting a check at all, then waiting for one in the mail. Sometimes, things get lost in the mail.
2. Some people, it appears, incur substantial hold times on large checks. In most cases I am aware of, an EFT is available to be withdrawn or used as soon as it hits your account.
If you prefer a paper check, that's OK. Differences in preference is why Howard Johnsons used to sell 28 flavors of ice cream.