For example, the latest email from Darkhei Noam contained this interesting locution:
Darkhei Noam is delighted to welcome to the community Rabbi Dr. Elie Holzer, founder of Congregation Shira Chadasha in Jerusalem, who will be visiting us on Shabbat January 25-26, and will be addressing the kehila several times.Why is this interesting? Because "Shira Chadasha style" generally has only one meaning (and a google search for this and other variant spellings confirms this): partnership minyanim, i.e. a service in which men and women participate equally in Torah reading, women may/must lead parts of the service in which the sheliach tzibbur has no formal role, and men lead parts of the service in which the sheliach tzibbur has a formal role.
At a special Friday Night Tefila in the Chapel at Heschel, Rabbi Holzer will speak before he leads us in a "Shira Chadasha style" Kabbalat Shabbat. [emphasis added]
But this can't possibly be what Darkhei Noam meant in the email, for two reasons:
1) Darkhei Noam is always in this format. And they wouldn't label their usual minhag as "Shira Chadasha style" (as would minyanim that are explicit offshoots of Shira Chadasha), since Darkhei Noam and Shira Chadasha started within a few months of each other, and developed independently.
2) Rabbi Holzer is a dude, and "Shira Chadasha style Kabbalat Shabbat" (in reference to a one-time event) pretty much definitionally means that a woman is leading.
Ergo, "Shira Chadasha style" must be referring to the actual style of prayer (which I assume is different from Darkhei Noam's typical style, though I haven't been to either minyan frequently enough to judge for myself), a trait that is sometimes forgotten when minyanim are defined only or primarily on gender-based axes. The style of prayer is often orthogonal to these gender issues; e.g., here in Jerusalem, there are at least 3 partnership minyanim with very different styles: one is done in 1 hour 45 minutes or less on Shabbat morning, one takes at least 5 hours, and Shira Chadasha itself is in the middle. So Darkhei Noam is making an interesting statement by reassigning this label to refer to a new characteristic. It's important to remember that people who agree on egalitarianism, lack thereof, or degree thereof may agree on little else in their prayer preferences.