I've always thought plating was more "formal" and plattering "informal"..
Long ago while staying at a relatives home, meals were plated, and the lady of the house considered plattering the way "farmers" eat - in a derogatory sense. (She's not part of the family any more BTW.) I think letting everyone help themselves as platters are passed around the table is much friendlier, especially because of that experience. Raised in the city but I'm just an old farmer at heart I guess.
Maybe I'm thinking of a different kind of "plattering" but there are the same amount of dishes to clean up,unless you are serving from the stove (pots) - which I must confess we often do when it's "just the two of us".
One good word about plating, in my experience the portions served are smaller - good for my diet when someone does the portion control for me! And I am a bit intimidated about asking for seconds when someone else is dishing up for me - shades of Oliver Twist's "more please" - strikes me too much like begging. Also, the hostesses offer of a second serving seems to come only after everyone is finished their first serving, so unless everyone else is also having seconds, you would be sitting there eating alone - not a comfortable situation at all.
I'm a grown up!! Let me help myself - that way I can take as much, or as little as I want, and adjust my eating speed to finish around the same time as everyone else at the table.