The stated reason does suggest they believe non-Jewish groups are less deserving of remembrance:
These people are not in the same category as Jewish people
with regards to the Holocaust,” Hikind said following a
press conference at the memorial. “It is so vastly
different. You cannot compare political prisoners with
Jewish victims.”
The proviso I would add is that NYP a muck-racking rag that delights in outrage and controversy. I would be very skeptical it is giving a full and fair account of the individual's views.
Anyone who's happy to make the former interpretation
needs to look very carefully at their motivations.
I don't believe the parent is making unfair interpretation of the actual article content. Using that as a source is somewhat suspect but any discussion of anything holocaust, Jewish or Israeli leads to accusations of anti-semitism these days. Its a problem, please be charitable.