[shkkmo]

There is a huge amount of nonverbal information that would be accompanying that statement.

The speaker's motivation for that statement, the speaker's attitude towards the soda getter, the speaker's attitude towards soda, the implied outcome/motivation for the soda getter, the state of beverage availability and thirst in the immediate vicinity, the proximity of the store...etc

Every time someone says something we have to model what different interpretations imply about the mental state of the speaker, compare that with the recent conversational history, the tone and body language of the speaker (and other listeners), our knowledge of the speaker and the broader context. At the same time, each new statement can cause us to refine our past mental models of the speaker and reinterpret the interpretations based on those models.

[gjygj]

The word "huge" carefully avoid quantifying the amount of information.

Imagine a conversation with zero non-words information (a transcript).

Now one with zero words (mime game) .

Which one conveys more information?

[munificent]

If you're going to make a reductionist argument like this, then consider the byte size of a text transcript versus the byte size of an audio recording of the same speech act. The latter will be orders of magnitude larger. Thus it strictly contains much more information.

[shkkmo]

That depends on the conversations.

Sometimes you can say far more with a single look than you can with mere words.