I'm a fan of basketball. I like watching good basketball. Can I be a neutral referee while also being a fan of basketball? I think that it's important to remember that the DM in D&D is being asked to be a referee with respect to the rules and making rulings. However, the DM in D&D is also being told advice such as...
Wait? Making play revolve the characters and make the players come back for more? Tailor things for the players' preferences? How is any of that behavior for a neutral referee? Honestly, it seems a bit absurd that WotC's writers wouldn't want the DMs to be fans of their players' characters.
That said, the GM in PbtA games is not described as a neutral referee nor are they expected to be one. The GM in PbtA games are meant to fill the PCs' lives with adversity and adventure. Some PbtA games go as far as describing the role of the GM as being a firehose of adversity that is pointed against the PCs. That goal is likewise at odds with something that a "neutral" referee would do. Here is how "Be a Fan of the Characters" is described in Stonetop:
Sure, because many people here are long-time players who have internalized D&D's terminology and deviations from "plain English" as normal. So when these people see other games using different terminology, it accuses these other games of a scary misuse of "plain English" while ignoring the presence of such features in their own games. It's about like someone from Culture A accusing Culture B of having Weird Custom Z while ignoring that their own Culture A also has Weird Custom X and Weird Custom Y. We tend to ignore our own cultural blindspots while noticing them in other cultures.
That doesn't say much. Claims are easy to make. Backing them up to make a compelling argument is the hard part.
I'm not on one side of the fence. It don't really see this in terms of a fence or sides; instead, it comes from an open field of experience with a plethora of other games.
I fully recognize that different games use different terms that may defy our sense of "plain English" or "natural language," and IME this can be one of the hurdles going from one game to another. For example, PbtA has terms that took me awhile to learn and I often find throw new learners for a loop: e.g., +1 Forward, +1 Hold, etc. However, it seems a bit hypocritical to accuse DW as having terms that defy "plain English" while ignoring similar linguistic features in D&D. That does strike me as special pleading. D&D was my first TTRPG and I have far more experience playing in games of D&D (and its ilk), so yeah, I have internalized a lot of D&D's terms far more readily than games outside of that bubble of personal experience, including PbtA games, but that mostly comes from 23+ years of experience with D&D-esque games > 8+ years of non-D&D-esque games.