Its just an idea.
I don't think that sweating is a bad thing. I do it often!
Not sweating is really not about good or bad. It is about not pushing yourself, and instead being in cool calmness.
The yogic way doesn't make your heart race. The heart stays steady as the yogi moves through or holds difficult postures
Here is an example from the ocean. We bicycle to the beach in the morning and see waves licking the shore. We rest in the sun and the waves still lick the shore. We go swimming and the waves lick the shore (and us!). We throw the frisbee and beside us, the waves lick the shore. We eat lunch and watch the waves lick the shore. We swim again and the waves lick the shore (and us!). We finally go home and the waves ignore our leaving, still licking the shore. All night with no people or volleyballs and only the moon as light, the waves lick the shore.
The waves can be our breath, our sweat, our energy.
And we! We can be as beautiful as the waves, coming, going, splashing, licking, soothing.