It is possible that the coolant temp might rise a little if the oil temp was way high. Many years ago, an Alfa that I owned would show a slightly higher than normal coolant temp when the oil was low (and therefore hotter than normal). However, this is a secondary effect and on a Benz might not even be noticed. Coincidentally, the Alfa also had an 8-quart sump and used Rotalla oil.

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"Buster" in the '95

Our all-Diesel family
1996 E300D (W210) . .338,000 miles Wife's car
2005 E320 CDI . . 113,000 miles My car
Santa Rosa population 176,762 (2022)
Total. . . . . . . . . . . . 627,762
"Oh lord won't you buy me a Mercedes Benz."
-- Janis Joplin, October 1, 1970