Qualcomm has had commercials. Sometimes in pricey spots. They also have or had one or two stadium naming rights. So at least they'd be known by name (vaguely) by a decent percentage of Americans. Though would they know what Qualcomm does at all like even just "something with mobile devices"? No clue.
Not really a retort. Just Qualcomm is at least known perhaps more than all the other companies combined. As little as that's worth.
People don't usually research who makes the chips in their doohickeys and gizmos.