For some businesses, which receive small numbers of large checks, being able to deposit them on the spot via a smartphone would be very beneficial, as it improves cash flow, and makes managing papers less of a chore. This can also simplify the bookkeeping process, as individual deposits make it easy to identify individual checks to be matched up against invoices.
One thing that would not figure into my calculations is the interest rates. Getting an extra 0.5% interest on $5000 amounts to a whopping $25 a year, or a little over $2 per month. So while I, like many others, am dissatisfied with the low interest rates that my money earns, getting a slightly higher rate would not sway me towards a different bank. If the difference were 2%, then it may make a sense, but that is extremely rare.