相撲: watching a broadcast and playing on the beach
Compare watching a sumo broadcast with 相撲を取る in children's beach play.
Watching with a grandfather
相撲 (すもう) means sumo. 「祖父と一緒に相撲の番組を見た。」 means “I watched a sumo broadcast with my grandfather.” The reported action with the grandfather is watching a broadcast.
相撲の番組を見た does not say the viewer wrestled.
Children's play through 相撲を取る
「子どもたちは砂浜で相撲を取って遊んだ。」 means “The children played sumo on the beach.” The children played sumo on the beach.
相撲を取って connects to direct participation in their play, without an official-match claim.
Distinguish viewing from participation
The meaning of 相撲 remains, while the surrounding verbs distinguish watching from participating.
Keep the broadcast viewer and the children separate; neither report makes them professional competitors.
Can the sumo broadcast viewer be described as someone who directly 相撲を取った?
Show the answer and why
No. The first example reports watching with a grandfather. In the separate example, the children played sumo on the beach, without an official-match claim.