I think many people, myself included, think that the three main traits are necessary components for something to be god. If it doesn't have those three, it's not god. That's simply what many people mean by the word "god." It's like saying a bachelor can't be married. That's simply what the word means to many, myself included.
I understand ... in that sense, "God" is a type of office, or status, as opposed to a type of being, or the name of a being. Like "President". Or "Boss" or as you said, "bachelor". A bachelor is not a species or a class of being, it's a status that a human being can have depending on their state of marriage. President is a role or office that a person can hold in governmental society, etc and so forth.
I would consider the word "Lord" along those lines (like an office, or status), but for me, the term "God" implies either a
* Name, as in Shawn, Mike, Penelope, etc. In other words, when I say, "God" I expect a being or entity to turn it's head and say, "Yes ?". Insert Ghostbusters joke here.
* a type of entity. As in, we can theoretically test it's DNA and find out what type of entity it is (I'm being analogous here). Or if it doesn't have something similar to DNA (or isn't even carbon based for that matter) we can at least attempt to classify it by it's unique composition, not just it's other ability attributes. Thus, you could have a "god" as a class of being. The other omni attributes may or may not be present, for example.
So for me still, the idea of "god" strictly being an office or status type of term, is still foreign to me. I understand why someone who adheres to certain religious concepts may think along those lines (I mean, John Frum is a "god" to some, yes ?) ... but for an atheist to still hold to such definitions, I'm still perplexed. I'm assuming the idea of the existence of any of the common definitions of "God" are equal in weight to the existence of the Flying Spaghetti Monster or invisible pink unicorns to you, correct ? As well as leprechauns ? I'm assuming here, so if I'm mistaken concerning your stance, please let me know (I know atheists who still believe in what people would call the supernatural for example) ? If I'm not mistaken, and equal weight would be given by you concerning the existence of an invisible pink unicorn, the Flying Spaghetti Monster, and most of the major monotheistic religions' concepts of God ... why would you still personally find certain traits necessary in order to consider it a god ? Leprechauns, as far as I know, have never had such traits attributed to them. Nor have unicorns as far as I know, invisible pink ones or not. So why would you personally still require certain attributes of a "god" in order to deem it a god ? Esp if you don't believe any of them exist ? Do you think it's just habit on your part perhaps ? Or a type of lingering brainwashing effect ? Or maybe you still have expectations ? Could conditional belief based on the fulfillment of personal expectations actually be categorized as belief ? I realize, based on what you've said, that you have a personal history that seems biased towards a specific POV. However why would you still support that POV even though you claim it's non-existent and even impossible ? I see no difference in that and what a believer's stance often is. I hope you take my questioning the right way by the way, as I'm not trying to drill you, rather I'm trying to place my finger on what is perplexing me about the nature of your belief concerning god and the attributes you believe he must have, even though you are an atheist.