I'd guess the main target of this operation is still Lebanon. They're going to have another go at Hezbollah once they've consolidated their positions in Syria. Trying to take over Damascus at this time is pointless, they already seem to have the compliance of HTS.
In my mind it's really not that much of a mystery why Hezbollah didn't go all-out. Yeah, they might have crippled Israel, but that would also entail the destruction of Lebanon, whether at the hands of the Americans or Israeli nukes. What good would that do for Hezbollah or the Palestinian people?
The only way for Israel to seize to exist, is for it to collapse under it's own contradictions. As long as it has nukes, the resistance can only push up until just shy of all-out war.