Yep, that's what mine was very recently. Didn't even need to do that much - new license is optional. I just wanted to have my new address in there and $3 is chump change.07/22/2016 - Sent the letter and $3 to NH via regular US mail for change of address on non-res P&L.
07/27/2016 - Received my new non-res license, in hand.
5 Day Turnaround!