I have been searching for a good acid catalyzed aldol condensation to complete acid and base catalyzed examples. Upon searching for examples, I discovered they are reasonably rare. I believe this is because the pKa of a protonated carbonyl compound is fairly low. The low concentration contributes to a low concentration of enol to form from it upon deprotonation. That enol then has to add to a protonated carbonyl. I reasoned that the equilibria for all of these steps happening at once resulted in the rarity of acid catalyzed aldol reaction occurring in good preparative reactions.
I knew that acetone can give mesityl oxide by treatment with acid, but that seems like a rather messy reaction. Upon searching, indeed Hagemann's ester can be prepared by an acid catalyzed cyclization of the bis-ester. That seems in line with other examples I had found of acid catalyzed aldol reactions, namely intramolecular cyclizations.
If ammonium acetate constitutes acid catalysis, that has a different connotation of the words "acid catalysis" than I use. Water is an acid source to methyllithium, but it hardly catalyzes a Fischer esterification of a carboxylic acid. The pKa of ethyl acetoacetate is so low that a low concentration of enol is present without acidification. I would virtually surmise that treatment with acid may actually reduce the enol content, though I haven't thought greatly about this. None the less, I really really doubt that ammonium acetate is protonating the carbonyl compound, especially formaldehyde to make it more reactive under acidic conditions. I can see it forming an even more reactive imminium salt, but again, I wouldn't use formation of an imminium salt with acid catalyzed.
Given the nature of the question being asked, "Ethyl acetoacetate reacts with formaldehyde under acidic conditions in an aldol-like condensation" and the next step is the Michael addition, I tried answering in what I thought informative to the poster understanding the chemistry. For example, see
question #4, an exam question about the preparation of Hagemann's ester or as suggested a
Knoevenagel condensation. In neither case would I call these acid catalyzed. That was my point.