Honestly I decided to research this because I'm a bit bored and it seems that in professional writing it's a mixed bag on what the appropriate gender-neutral term is and if we need one at all. Some of this is because of the vast diversity of the English speaking world. From it's humble isle in Europe, to north America, to Asia, to Africa, to it's cozy corner of the southern hemisphere cultures of each are going to dictate how each cohort discusses gender-neutral terms. But the focus of the discussion seems to be primarily on the gender binary of man & woman and exclusionary of nonbinary/gender fluid/trans people. Here are a few pieces that I've found discussing the issue:

Lateral Magazine: Keeping it neutral

Hakai Magazine: “Fishers” or “Fishermen”—Which Is Right?

Ghoti Papers: Should we call them fishers or fishermen? (abstract)

The Sun: Female fisherman blasts BBC for using gender neutral term ‘fisherpeople’ (I only included this one for shits and gigs due to its sensationalized nature & I genuinely found it comical)

ABC (Australia Broadcast Company): Is 'fishermen' a sexist and exclusionary term?

The University of Auckland: Fishers or fishermen