Over the recent two years I subscribed to it, Glimmer Train, one of the most prominent literary mags in the U.S., published about 50% present-tense stories. Present tense might not be the majority in literary narrative styles, but to say that "limited third person past tense" is the "standard" for litfic is simply unsupportable. You'll also not have difficulty finding work narrated in omni.
caw
I always wonder where people get their data when they make sweeping statements about "the majority of works published in the past few years in such and such a genre are X" anyway. It's probably easier to test such a hypothesis with short publications (like you did with Glimmer Train), but if one is talking about novels, it's pretty darned hard. There are thousands of books published each year. Does anyone actually sample them and calculate the percentage in each genre, subgenre, or marketing demographic (when such are even clear cut) are in limited third, omniscient, deep, not so deep, first person, second person, past and present tense, or some mix of any and all of the above?
It seems like it would be a herculean task. And sometimes, we can't all even agree what a book "is" anyway. For instance, I've seen the Harry Potter books held up as examples of both limited third and omniscient on various author blogs.
I assume people base their assessments on their own reading, but this is always going to be somewhat self fulfilling, since we tend to gravitate more towards the sorts of things we like, and therefore might think such is more prevalent than it really is. I actually have a hard time remembering the pov and/or tense that some of the novels I read years ago were written in. I remember the story and characters, not the nuts and bolts of how they were told.