Crutch (n)
a : a support typically fitting under the armpit for use by the disabled in walking
b : a source or means of support or assistance that is relied on heavily or excessively
That _OR_ is doing a lot of work. I believe that 'or' makes the word not objectively pejorative. Context is important. A no-true-scotsman insinuation, or an insinuation that the crutch will never be removed does lack empathy and would seem pejorative to me.
Though, an empathetic concern that the crutch will never be removed - is not necessarily pejorative IMO. Either way, the crutch is a tool to "healing." Context matters.
It might be more good faith to just pick language that is more clear. The alternative feels a lot like pretending to be one thing while trying to make people think something else - it rings just like a bad faith "Im just asking questions"