Srimathe Ramanujaya Namaha,

Since the question was open for a while and some answer struck adiyen’s memory from Swami’s sorpozhivu, adiyen will share with Acharya ThiruvAdi Bhalam.

As we know Butter is the first derivate of Cow’s milk made by Churning Whole fat milk. Other products are made at later stage. Ghee is also called as Clarified Butter.

SriKrishna chose Butter for our benefit.

1. Saamanya Artham is for our Body/Athma Benefit: Natural Butter &/or Natural Clarified butter (Ghee) is the best “ANTIDOTE” for poison. SriKrishna used to eat lot of soil, mud in his baby time, So, eating Butter was a countermeasure. This is to indicate us that add Ghee to every food and offer to SriKrishna and then eat as Prasadham. This keeps our Body Healthy by eliminating Dhosham/poison/bacteria etc…. in the food, plus primarily helps Athma Suddhi (Karma elimination) due to the food being consumed as BhagavAt Prasadham.
2. Vishehsha Artham is to indicate us (The Athma) to “SURRENDER on HIS Lotus Feet:
   •  Clay Pot represents our Body,
   •  Butter inside the Clay Pot represents ourselves “The Athma” trapped inside our Body”
   • So SriKrishna breaks the Pot (Body) to take HIS Stolen Property “Butter (Athma)” which we have been claiming as our property to many Janmas. Actually We stole SriKrishna’s Property (Athma/Butter) for many Janmas and have been saying that SriKrishna stole butter (Athma). So Surrender Happily HIS Stolen Property “The Athma” to SriKrishna or HE will come a break the Pot (Body) to retrieve HIS Stolen property Butter (Athma).

Swami Says “அவன் கண்ணன் பிறந்தது நமக்கு என்று நினைக்க, நம் பிறவி அவன் தந்தை காலில் பட்டது நமக்கு படும்”

Adiyen Srinivasa (DhoddayaAcharyar) Dasan.

Vrindhavan SriKrishna Dhamodhara BhgavAn Ki Jai.

Srimathe Ramanujaya Namaha,

Lacking back on some basic milk process. Small miniscule corrections.

Butter is not first derivative of of milk.
Milk is churned to Curd and by-product Butter milk.
From Curd to Butter is made, and from Butter to Clarified butter (Ghee) is made….etc…

But, Other reasons Saamanya Arthams and Vishesha Arthams mentioned above stays the same, adiyen beleive…….especially adiyen pulled Vishesha Artham (Pot/Butter as Body/Athma comparison) from Swami’s upanyasam.
Additional supporting reference for Saamanya Artham “Butter/Clarified Butter as ANTIDOTE”.. The ancient Ayurvedic classics praise Clarified Butter as the best for successful use in poisoning which is also admitted by the modern classics of Toxicology.
To search the information’s about the effects of the poisons on the victim’s body and utility of Butter/ Clarified Butter (Ghee) on poisoning, the Ayurvedic classic Texts written by Charaka Samhita, Susruta Samhita, Astanga Sangraha and Astanga Hridaya written by great Acharyas/Rishis has details. So it makes sense, why SriKrishna chose Butter to eat, since SriKrishna used to eat lot of soil, mud in his baby time, So, eating Butter was a countermeasure in literal sense.

Adiyen don’t have knowledge on these texts, but it is available in Google. Just FYI for interested candidates.

Adiyen Srinivasa (DhoddayAcharyar) Dasan.