The comment above mine sums it up pretty well, IMHO. There's general curiosity, a justified demand for an update and the inquisitive version indirectly implying whatever you do might be wrong. The latter, from someone with more authority, is putting you in a defensive position from the get go. It is passive aggressive. And it is borderline hubris from someone with no qualification in the subject matter at question. I especially hate the last version of it, if you don't trust me to do my job properly, why hire me in the first place? Plus, it creates a toxic culture where everyone has to justify every single one of his decisions all the time.
Well I understand now and I think your preference is entirely reasonable but I would suggest different wording in the future. The normal definition for "inquisitive" doesn't imply those things, just curiosity. Asking at all would generally be inquisitive. "inquisition-like", maybe? Or some other word, I don't know what fits best.
(And when it is curiosity, it's less offensive from someone that doesn't know much, which is part of what threw me off so badly.)