The deeper you discharge a battery, the shorter its lifespan will be. That being said, “Deep Cycle” batteries are designed to handle deeper discharges better than a starting or auto batteries. For example, if a deep cycle battery is routinely taken to a depth of discharge (DOD) of 50% (12.06 volts), it will last about twice as long as one that is discharged to a DOD of 80% (11.58 volts). With deep cycles, it is also not good to have frequent shallow cycles. Continually discharging to a DOD of less than 10% (12.5 volts) and recharging will shorten a battery life. As mentioned, keeping a battery discharged long periods of time will lead to sulphation of the plates and can cause premature failure.
The recommendation would be to chose a deep cycle battery size so that your typical usage will take it to 20%-50% DOD (12.42-12.06 volts).
Yes, I am a battery geek and check my DOD with my multi-meter after usage. I do use Interstate batteries and just replaced my 2007 batteries this spring.