It is going to be interesting to see how being able to go to 840 with the flip of a switch amplifies any distortion just as it does the subject. I will probably be going the other way more often from 840 with a little bird in the bush to a suddenly appearing raptor at closer range.I think you were missing my point I am very aware of what the causes of atmospheric distortion are and yes it can happen at all focal lengths it is "less" noticeable with shorter focal lengths and yes from what I've seen 600mm in my shooting conditions show less distortion then shooting at 840mm.
I am not a wildlife photographer I mostly shoot winter sports so I am Always out in cold.temps.yet when the air temp is warmer then the snow temp or visa versa this can cause problems for me
I was a volunteer at our local ski area for 20 years. I did some photography late in my time skiing after I had retired. If the air and snow were both cold I never noticed any distortion but never used long lenses 600mm or more for that . The most common time to see distortion on the mountain for me was spring with warm sunny temps over the colder snow. Overall with all that white and bright you do have a challenging genre.
Now my most challenging situations are usually photographing water fowl or shore bids (here in Idaho) over water. When the differential is strong between water and (warmer or colder) atmospheric distortion is a challenge even at close range when the birds are on or just above the surface an things improve as they get higher above it.