Please cite your reptile authorities. As this is not born out in the literature, the required diet for crickets nor their subsequent analyzed content.
House crickets contain 54% fat/kcal*, while commercial crickets contain 44% fat/kcal*, compared to 60% fat/kcal* for mealworms. This is only an average of 20% difference from mealworms. So the claim that crickets are low in cholesterol because they are low in fat is wrong. (citation below)
* Donoghue, Susan; Langenberg, Julie, 1996, Nutrition, In Reptile Medicine and Surgery, edited by Mader, Douglas R., W.B. Saunders Company, Philadelphia
As for the wild diet please refer to Basso, N. G. and J. D. Williams. 1989. The diet of Ceratophrys ornata (Anura: Ceratophryidae) in Argentina. 1st World Congr. Herpetol. Canterbury.
Well over 90% of the stomach contents of horned frogs were vertebrates, including rodents, a few birds and some frogs. They are documented to be well able to capture and consume rodents.
Any other unsubstantiated claims?
Ed