With the influence of the Hezbollah diminishing in Lebanon after the withdrawal of the Syrian forces and the rise of the Sunni power, assisted by Saudi Arabia, it is no surprise that Saudis would like to strengthen the Lebanese Army so that it can take on the influence of any Shia forces like the Hezbollah to make its presence felt.
The Saudis feel that they are the sole custodian of the Sunni faith of Islam and hence do everything to degrade the influence of Shias everywhere in the Islamic world and in countries where Muslims are sizeable in numbers.
As far as Hollande's visit, the French feels obligated to feel incorrectly that ex French administered territories are still French possessions.
Therefore the interest in booting forces that are pro West so that Lebanon does not leave the sphere of influence!