Aspects between the primary significators have to take precedence. Yes the Moon is moving at the fastest rate but as you note, Mars has no direct relevance, ruling the ninth and the fourth houses (unless the areas covered by these houses were part of your question). With a one degree separation this is a good indicator of success. Though Sun in the sixth, in its Detriment is an argument for the matter not coming to success. The existence of an aspect doesn't guarantee the outcome, you would also want other supporting testimony. Saturn in the Sun's triplicity could be such evidence, though as the Sun is below the horizon, rulership has passed to Jupiter. I wouldn't cancel the link on that basis but I would reduce the strength of the link, so it remains a favourable one but not sufficient to produce the outcome, with that aspect.
I've not checked the minor dignities, but you might find support at that level. If both significators are fast, then again there's support for the matter coming to fruition, in this chart, Saturn is slowing towards the Station Retrograde. This weakens Saturn's orientality of the Sun (which is good) because Retrogradation is a bigger debility than orientality is a dignity.