Yes.

2001 was when the Silverado HD and Sierra HD were formally introduced.

The only one that's iffy is the 2001-2003/2005-2007 1500HD (was dropped for '04 and brought back in '05). Sometimes it's in the brochure with the light-duty 1500 trucks, other times it's marketed with its bigger brothers.

Television commercials for the Silverado HD:
https://www.youtube.com/watch?v=JoZy1lY0n4E
https://www.youtube.com/watch?v=-yDOg7wUJ5k
https://www.youtube.com/watch?v=88DKWIlj01M

Brochures:
'03: https://www.motorologist.com/wp-content/uploads/2003-Chevrolet-Silverado-HD-brochure.pdf
'04: https://www.xr793.com/wp-content/uploads/2021/11/2004-Chevrolet-Silverado-HD-Spec-Sheet.pdf
'11: https://www.auto-brochures.com/makes/Chevrolet/Silverado/Chevrolet_US%20SilveradoHD_2011.pdf
'15: https://cdn.dealereprocess.org/cdn/brochures/chevrolet/2015-silverado2500hd.pdf
'22: https://www.chevrolet.com/content/dam/chevrolet/na/us/english/index/shopping-tools/download-catalog/08-pdf/2022-chevrolet-silverado-hd-ebrochure.pdf