If they're named differently that's a second series, rather than a second season.Sparrowsabre7 said:]
Also, you'd be hard pressed to find many anime with more than one season under the same title. For various reasons which I have forgotten, sequels are almost inevitably renamed even if they are direct continuations, Code Geass R2, FMP Second Raid, Black Lagoon Second Barrage, Trigun Maximum,
That not happening after an extended break is the exception (e.g. this, Haruhi, and Cardcaptor Sakura).
Seasons are more associated with the long runners, which need sub-division for boxsets. Normaly 26 or 52 episodes or by plot arc.