This was true for its senior Ambassador line. The Ambassador name was used by Nash for its top line, and after AMC dropped the Nash brand it applied the name to a stretched (in front of the cowling) body that originally entered production as the 1956 Rambler.
AMC stylists kept fiddling with Ambassador grilles, tail fins, and other details in an effort to keep the aging basic body fresh looking long after a redesign would have been called for (if the Ambassador had been, for instance, a General Motors car).
For 1961, an odd front end facelift design was selected. I find it hard to understand how this happened, because AMC had a talented styling staff that included Dick Teague who was hired by AMC in 1959 when the '61s were still in the development stage. Ed Anderson was in charge of AMC styling, and I regard him as less skilled than Teague, so perhaps he okayed the design for production. Or possibly it was someone in upper management who bears responsibility -- though a manager would have to have selected a design option originating in the styling section.
The facelifted '61 Ambassadors were asserted to have a European flair. Maybe so, if some of the strangest French designs served as inspiration. As for me, I see fail to see a genuine European character to Ambassador front ends, and think the European angle was public relations hogwash.
And as it happened, sales for 1961 Ambassadors dropped from 1960 levels and 1962 Ambassadors received a facelift that eradicated the '61 design.