The phrase "one might object that" is correct and commonly used in written English.
It is typically used to introduce a potential objection or counter-argument to the previous statement. Example: "The proposed solution may seem simple, but one might object that it does not address the underlying issue."
One might object that, on an institutional theory, all artforms are social in just these ways.
Of course one might object that parents like me can simply refuse to ever go to fast-food restaurants.
One might object that Nabokov was a powerful intellect, and the last thing one wants, on encountering Cervantes for the first time, is another quite distinct intellectual or artistic presence, to distract from a fresh reading of the masterpiece.
One might object that suicide is neither a "problem" nor a "question," but an act.
One might object that Eq. (11) only covers up to 15 items and may therefore not be used for larger instruments.
To this, one might object that Wang's examples show, at most, that knowing something is good or bad requires that one have some level of appropriate motivation.
Of course, one might object that, even in the face of impending doom, the only decent and humane thing to do is to compassionately care for ones fellow human beings.
One might object that including the characteristics of the target violates the principle of parsimony.
One might object that systematic reviews of reason-based bioethics are unnecessary to enable maximally informed, minimally biased decisions: informal reviews suffice.
Worse, one might object that decision-makers may confuse the most commonly-presented reasons with the strongest reasons, just as they may confuse the literature's all-things-considered conclusion (presented by a McCullough Model systematic review) with the truth.
