I don’t know about R’ Schwab, but I would assume that R’ Ahron was referring to the fact that both MO and Conservative/Reform have attempted to change Yiddishkeit to “fit in” with the modern times (note the Modern in Modern Orthodox). But Yiddishkeit should never be changed to accommodate passing fads and societies; we must remain what we always were, what we have been since Hashem gave us the Torah on Har Sinai. This is the basis of the Mesorah, and the basis of the Chareidi philosophy.
LMA:
“I think we’ve spoken enough about MO in recent days. Maybe now its time for us Chareidim to look inwards into ourselves and try to improve”
I don’t see why the two are mutually exclusive.