Yes - I have heard the distinction between these two modes being regarded by some as "conventional language" and "Dhamma language".
One does not negate the other of course, but only one communicates the unique, deep and original Dhammic insights that the Buddha brought to the table.
That's a slightly different spectrum though to the distinction between sutta language and paramattha dhammas.
"Do not force others, including children, by any means whatsoever, to adopt your views, whether by authority, threat, money, propaganda, or even education." - Ven. Thich Nhat Hanh
"The uprooting of identity is seen by the noble ones as pleasurable; but this contradicts what the whole world sees." (Snp 3.12)
"To argue with a person who has renounced the use of reason is like administering medicine to the dead" - Thomas Paine