I don;t feel strongly either way
but the concern of those gentiles makes sense
Unfortunately Jew has taken on some negative meanings.
There have been a couple such stories involving Google search over the years
for example in Dec 2022 the first hit on Google for “Jew” was the definition: “”Bargain with someone in a miserly or petty way.”
this was the first result
A while ago the leading results included antisemitic websites such as Jew Watch.
At the time it was noted that “Jewish” did not result in the same offensive results
As a result of thsi “defitnion of Jew and as a result of Antisemites choosing the term Jew as the subject of their hate (often with a snarl) “polite” Goyim have shifted towards using Jewish PErson.