Being in a position to leverage support and not doing so would be foolish. Apart from the threat from the Earth Core race, there's also the Alien Coalition watching intently.
Compared to the tangible benefits of resolving the Earth Core race threat early, face value is worthless.
Generally, it's nothing special; helping allies is a duty. But in the end, things went awry.
Upon receiving the news, Hudson rushed straight to the Capital, knocking on the palace door in the deep of night. If nothing unexpected happens, the Major Nobles from various places should be on their way.
All because Caesar IV suddenly decided to personally lead an expedition!
In all fairness, it's really not Hudson's intention to become a power minister and deliberately suppress the King's prestige. The Kingdom's accumulation of a little wealth hasn't been easy.
If it were only the Royal Private Army being mobilized without including the Standing Army, Hudson wouldn't interfere at all.