No, it was The Motion Picture. If you recall, they were the first to encounter V-ger and were destroyed.
Every statue of Kahless shown in Trek (there werent that many) had ridges. The only REAL reason they did not in TOS was because the makeup for such prosthetics did not exist at the time cheaply. It was later explained why there were Klingons without the ridges, but the understanding is that all Klingons were born with ridges and those who did not have them were because of genetic modifications.