If the $2 phone shop takes a total of 10 minutes to call and submit, my hourly rate is $12/hour.
For me, $12/hour at home is a lot more valuable than $24/hour while I'm running around town, burning gas and paying a babysitter.
This is a "to each his own" scenario. I would do it, although I haven't seen those shops in my area and can't really answer the OP's question.