No, only viewing your response as possibly projection. You'd have to figure out if that is what is going on for you there. I'm no analyst.

In a close personal relationship I might make that kind of call, after having gotten to know someone a little more, but it is too difficult to make that assessment via the virtual steps of distance across this medium.

What is the 'feeling tone' of your response? And what does reflecting on that lead you to, in yourself? (qualities, associations, memories). These will usually provide some insight into whether ones perception is linked to a projection more than an accurate assessment of what is being perceived.

You've also had two people saying that she checks out and is legitimate in her presentation and motivation (desperation isn't something I associate with her or her IG activity either. Desperation often has a grasping kind of emotional need tied into it, like a knot pulling on extension of reach. That isn't apparent in this case). So that's a likely possibility of projection, but it still remains only a possibility until you do the self checking that clarifies it for you.