Volition, both in the vernacular and in the specifics of academic terminology, is about intent.
The example above is about the speaker stating their intent to do something together with the listener.
The dubitative example seems more of a suggesting hortative, as there isn't anything being doubted:
Here is how the relevant terms are defined in the Kodokan New Japanese-English Dictionary of Judo:
And here are the respective English language entries:
uke ("receiver"; the thrown; uke) The person who receives a technique during repetition (uchikomi) or controlled (yakusoku) practice.
ukemi (breakfall) General term for breakfalls designed to ...
... a name for this type of word (made of two very rare/complex kanji, but the word itself is fairly common)?