I think the "bigger picture" idea does have relevance in feminist thought in terms of structural and societal forces. For me, bigger-picture thinking isn't the opposite of pragmatic, attention-to-detail thinking - they can go together.
As an example I used to have arguments with my ex about women changing their names on marriage. His (Mr nice guy wokebro lefty "feminist") take was that women should have a free choice so who was I to lament people doing it. (I should add I wasn't giving anyone a hard time to their face! - just saying things like "Oh I didn't think she'd change her name".
I could not get through to him that I could recognise that each individual woman has a choice in the matter, but the bigger picture where women are seen as lesser/secondary, not the "head of the household" and are the ones to give up their name when men generally don't, is connected to issues like the prevalence of DV, women being pushed out of work because their salary doesn't cover the childcare (as a PP raised, that's pure sexist nonsense it should be both salaries contributing) and so on. Right down to details like men feeling like they shouldn't have to do housework or childcare or have a right to sex on tap - because the effect of this tradition being normalised is that it reinforces the idea that women are seciondary, a possession or adjunct of the man. And to take your DH's name is, IMO, a signal to other women that you agree on this "secondariness" of women, even if unconsciously, and it also continues to normalise inequality.
This isn't about whether I'm right, and of course this topic is open to debate - but what was frustrating is that ex could not grasp this. "Feminism means women have a choice!" is as far as his thinking could get and he would not hear of anything that made it more complex.
With trans issues, this bigger picture is partly that we live in a patriarchal society with powerful forces that prioritise men's interests, and it achieves that function in a plethora of complex ways. One of them is weakening and destabilising womanhood and co-opting feminism itself.
When I first heard of "intersectionality" and found out what it meant I thought "well no shit sherlock. Of course if you are a woman and disabled, or an ethinic or religious minority and gay, you stand to be oppressed on more than one front and it's going to be even harder." I mean duh, that wasn't news. It just seemed like one of these academic obviousnesses with a fancy name that people come up with to make their papers sound impressive. But "intersectionality" is now used to mean "don't get above yourself women, other people are more oppressed, so bow down to them, especially males". It's same old same old and the reason that happens IMO is because the deep misogyny in society will latch onto whatever works.