I think this is one piece of information you would need to include to stop such a statement being misleading, but as I argue here, there are potentially lots of other pieces of information which would need to be included to make it non-misleading (i.e. information about any and all other confounders which explain the association).
Otherwise, applicants will not know that conditional on X, they are not less likely to be successful, if they do not have a PhD (even though disproportionately many people with X have a PhD).
Edit: TLDR, if you do not also condition on satisfying the role requirements, but only on applying, then this information will still be misleading (e.g. causing people who meet the requirements but lack the confounded proxy to underestimate their chances).
I think this is one piece of information you would need to include to stop such a statement being misleading, but as I argue here, there are potentially lots of other pieces of information which would need to be included to make it non-misleading (i.e. information about any and all other confounders which explain the association).
Otherwise, applicants will not know that conditional on X, they are not less likely to be successful, if they do not have a PhD (even though disproportionately many people with X have a PhD).
Edit: TLDR, if you do not also condition on satisfying the role requirements, but only on applying, then this information will still be misleading (e.g. causing people who meet the requirements but lack the confounded proxy to underestimate their chances).