Short answer: Yes.
I think people who say it mean it, even if they aren’t perfect at practicing it.
Reality: Getting there requires work. It requires one to be honest with him or herself and taking the time to consider other points of view. Or tzimtzum to make space for our brothers and sisters.
Imho, secular vs frum may be different than charedi vs modern.
Someone who is frum may feel obligated to judge the *actions* of a secular Jew and possibly say or do something. That in itself may trigger a defensive response, us vs them. The response would be a byproduct of the goodwilled intention. Achdus doesn’t come without struggle, does it?
Hence, frum vs secular biases and actions could be out of concern and desire for achdus even when it appears contrary.
Maybe achdus is a process? Especially so in the galus.