Not a #2 pencil, but:
https://www.tractorbynet.com/forums/attachments/0315191630-jpg.694417/
(for reference the upper grapple tines are ~3/8 inch thick)
It's a bit bigger of a stick than I tend to just to mow over, but picked it up with the grapple tines for fun after doing some larger cleanup. However, a grapple does tend to be my tool of choice either to use like a bucket to toss limbs/branches in by hand or to directly rake and pickup larger branches & limbs. It may scrap up a bit of grass & dirt at times, but the grass recovers pretty quickly around here.
Of course, it's also pretty routine for the oaks in my yard to drop several limbs 2 to 5 inches in diameter (& few larger) every winter so using the tractor & grapple removes quite a bit of saw work every year.