Full Idea
A major flaw of the neo-Fregean program is that it is more impressed by the technical result that Peano Arithmetic can be interpreted by second-order logic plus Hume's Principle, than empirical considerations about how numbers come about.
Gist of Idea
Neo-Fregeans are dazzled by a technical result, and ignore practicalities
Source
Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 06.1.3)
Book Reference
Hofweber,Thomas: 'Ontology and the Ambitions of Metaphysics' [OUP 2018], p.159
A Reaction
This doesn't sound like a problem that would bother Fregeans or neo-Fregeans much. Deriving the Peano Axioms from various beginnings has become a parlour game for modern philosophers of mathematics.