Man, people keep asking this, but I'm not sure the question even makes sense. Gege Akutami has always been notoriously private, and the 'updates' fans cling to are usually just schedule notices from Shueisha or the editorial team. The manga went on a planned break after the Shinjuku Showdown arc concluded, which was announced way in advance. Since then, it's been back on its regular, albeit sometimes irregular, serialization schedule in Weekly Shonen Jump. That's the biggest confirmation things are 'okay'—the story is still being published. He gave an author comment a few weeks ago that was just a silly joke about a manga panel, which is totally his style. If there was a serious ongoing health issue, Jump would have made a formal announcement, like they did with Oda for 'One Piece' or back in the day with Togashi. The silence, in this case, is normal. The constant speculation feels more like reader anxiety over the story's intense direction and character deaths than anything based on real news.
I think fans are conflating narrative pain with authorial distress. Gege is putting the characters through hell, and maybe we're projecting that onto him. The only solid update is the work itself appearing consistently.