Sorry I’m late to this discussion. I want to address the original poster’s question.
My question is: will zone 1 training be diminished if I do it immediately following 60 minutes of Max Strength training?
The short answer is “NO” the training effect of your aerobic base training will remain the same if you do it immediately after a strength workout. BUT and I think this might be more important to you. The Z1 run WILL diminish the training effect of the strength workout.
A little, very little, science: Training in the lower intensity zones 1 and 2 triggers a cascade of effects known as the AMPk (Adenosine Monophosphate Kinase) pathway. This results in a bunch of changes at the genetic level whereby there is an upregulation of the genes responsible for mitochondrial biogenesis, aerobic enzymes increased capillary density in the working muscles and more. All these lead to an increase aerobic capacity of those muscle fibers.
The cascade that gets triggered by strength training is very different. It is known as the mTOR pathway. It upregulates genes associated with improved neurologic signal transmission to the muscles, increases muscle fiber size and number.
Well, it turns out that the AMPk pathway also has a dampening effect on the mTOR pathway. Such that the full benefits of the strength work are not realized. This is what weight lifters and body builders do not run. Engaging in extensive bouts of aerobic exercise is counter productive for them. The opposite effect of mTOR dampening the AMPk pathway seems to be no where near as strong.
This is what we typically separate the strength on different days from the aerobic base work. Or at least by several hours.
I hope this helps.