I'd say yes, in my experience. But it isn't a huge issue.
My tamron 150-600 g2 leads to shorter battery life than my 500mm pf. The one that uses the least is my 300mm pf. But it all depends on how much I look at the LCD. Camera is a d500 so battery life is good all around. I take 3 batteries with me on a trip.
The folks with mirrorless cameras might have more relevant experience, as dslr cameras use battery at a different rate.
Hope this helps.
Alan