The alleged violation of full additivity presupposes that uncountable sums must behave like countable ones, but this conflates two distinct mathematical regimes with different convergence properties.

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Conflates(in argumentation and logic): Treats two different things as if they're the same thing, or mixes them up in a way that causes confusion.
Convergence properties(as used in mathematics): The rules that determine whether adding up an infinite sequence of numbers will eventually settle on a specific answer or keep growing forever.
Countable(as describing the size of these unintended models): Able to be listed or matched up with the counting numbers (1, 2, 3...), even if the list is infinite; basically, not too large or weird to count in principle.
Mathematical regimes(as used in mathematics and philosophy): Distinct systems or sets of rules in mathematics that work differently from each other, like how the rules for counting whole numbers differ from the rules for measuring continuous quantities.

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