There seem to be different opinions if these would be ice cream servers or aspic servers even by reputable sources, the shape of the server would at least to my opinion work well both for ice cream and aspic jelly.
It can clearly be said that the mid-Europeans had these kind of ice cream serving sets as you show by your pictures and it is also correct that the aspic jelly was eaten by fork as you mention. Unfortunately there are not spoons in the Home free's set, the shown spoon by you could possibly then also be an ice cream spoon and not a soup spoon. It can anyway be said clearly that there was also soup spoons with round bowls which were very usable for bouillon types of soups.
Thereby probably you are correct that also these Russian sets are made for ice cream serving, if there were aspic servers and how aspic was served is not clearly mentioned from several sources where I have tried to check.
Here one set also by Gratschev that I have (l. 26 cm):