I think the argument that you have to wait more on Battle is a load of crap. Battle rounds probably last like 4.5 minutes on average. If you play smart it is pretty easy to stay alive for 3.5 minutes on average. Siege probably has a similar average round time, so if you die 3 times on average as defender, you already accrued more waiting time than on Battle. As attacker it is 5 seconds per death, but the running to the fight is usually completely devoid of any action, so that is basically waiting while having to press W. Getting the wait all in one go allows you to alt-tab, browse the forum, check your email or Facebook, fap and then play again.
However, the biggest plus of playing Battle for me is that people play more carefully. On Siege you can substitute skill with armour, high alpha damage weapons and spamming to a much larger extent. I get very frustrated at people not responding to threats constantly on Siege, simply because they rather get hit and get a kill than not get the kill and continue unscathed. A melee fight on Siege is far less enjoyable than on Battle, because the incentive to not die is much weaker, which makes a whole load of tricks and actions irrelevant.
If we are going to argue which server should be shut off first, there is a strong argument for it being Siege, as it completely unables an entire class category to play. Balance has always been focused on Battle, because that is where the biggest number of classes and playstyles are viable.