Hi Gator,
If the chemistry is the same then twelve volt deep cycle batteries are just as suited to cycling, and may be just as forgiving for deep discharges. Unfortunately, true deep cycle in a 12 volt jar will cost more money than a similar capacity of 6 volt units.
What are sold as deep cycle 12 volt jars are often a marine battery. These are distant cousins of true deep cycle batteries. Here is a list:
true deep cycle $$$
trolling batteries $$
marine batteries $
starting batteries $ (not suited to discharges of over about 10%)
Have the greatest number of amp-hours of batteries no matter what the voltage of the individuals. For example, it is most likely that 3 large marine batteries @105 amp-hours each, totaling 315 amp-hours (when properly wired in a balanced manner) may provide better service than twin six volt jars @ 232 amp-hours.
If there is only room for two batteries and no large inverter loads (150 amps and up) then six volt batteries are a good choice. If there IS a large inverter, then the 12 volt batteries are a good choice. It is all a balancing act. The bank needs to fit the end user's needs.
My own needs are 250 amp draws, so 12 volt jars, or super large 2 volt cells would meet my needs. I can't afford the 2 volt jars, so I have 12 volt marine units.
Batteries need to be fully recharged as often as possible. A modest solar system may make a world of difference. Care for them properly and they will last a bunch of years, no matter what voltage they are.