Yes that changed the story. Offer to those who go to part II of party.
I have noticed at most weddings we have been to with traditional cake ... plates of cut cake left sitting all night. Wedding helpers walking around trying to give it away.
I went to a southern wedding (older bride and groom but both their first wedding) and they had a pie bar, all different kinds of pie. The wedding cake was tiny and just for them. I've seen dessert bars (cookies, brownies, small sweets) where one could just grab and go - no need for plates and flatware. It seems to be more common place to do this in lieu of a big cake - it's often less expensive, guests get more choices, the offering can be "fancier" than cake and it makes a nice display/decor.
DD had tiny cake just for them (removed immediately after cutting). The baker then made an assortment of cupcake flavors including cake's flavor (DD & SIL picked flavors) that were easy for folks to pick up and eat or take home with them. No waste. All extras went home with us. DD had seen a similar setup online so we created it for ourselves. Even the venue consultants loved it.
PS We added 3 candies - mints, and then DD and SIL favorite candy.
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Interesting how costs vary. We priced every option we could. Plated meals were WAY more than any other due to the more than double staff needed to be hired. Family style would not be something that would be offered at a "formal" wedding - perhaps a casual outdoor BBQ style. One reason would be is formal tables are decorated and usually no room. We were in a window of time where events were permitted end of 2020 with rules. While set up as a buffet, guests could not touch anything. Staff plated it for you as you walked the buffet. What was great is it controlled portions. It went smooth and quickly thanks to our consultants and caterer.