Not really.
Think of the Great Plains 200 years ago, teaming with great herds of buffalo, deer and pronghorn, or East Africa 100 years ago, teaming with wilderbeest, zebras, impalas and Cape buffalo.
In both cases, open grasslands came with huge herds of grass eaters.
These people—probably the early Indo-Europeans—hunted vast herds of reindeer, mammoth, bison, and horses on the tundra prairie.
The tundra grasslands turning back into forest would have decimated those herds.
Did I misunderstand ?