No one is saying that absorption refrigeration is not possible.  When I was very young my parents lived off the electrical grid.  We had a refrigerator which ran by burning kerosene.  It used absorptive refrigeration.  The refrigerator was replaced as soon as the electricity grid became available.  

We are just saying it is extremely unlikely to be economic running off bitcoin miners.

With your proposed temperature difference of 50C or even 100F the efficiency will be 5 to 10%. The second law of thermodynamics sets an absolute limit to any heat engine.

Lets be really totally optimistic and assume  you are aiming for a 10% efficiency.  If you output 1,000W of heat from a miner you will get at the most 100W of useful work out and still have to get rid of at least 900 Watts of heat.  I just cannot see it even coming close to making economic sense.

Your web site says you have a "Lead Scientist" so I assume there has been some calculations done on expected energy output, on the overall economics, and on waste heat removal to maintain the 100f difference in temperature.

To repeat.  It is the efficiency and economics we question.  Not whether absorption refrigeration exists.