Nausea is one of the better-known side effects in the GLP-1 drug class.
The clearest way to understand it is through overlap. The pathway that affects fullness does not operate in total isolation from the pathway that can produce nausea-related responses. In some people, especially early in treatment or during dose escalation, those systems can overlap enough for nausea to appear.
Nausea can appear when the body is processing a strong change in signaling through a pathway that includes neighboring responses.
That also helps explain why nausea often becomes less prominent over time. The body has adapted to the changed signaling environment.
The strongest explanation stays mechanistic and proportionate. It does not need to dramatize the side effect or flatten it into generic advice. The broader mechanism is covered in The GLP-1 Highway.