Mmm not sure about holding Beirut given the ruined labyrinth it was.
But yeah a longer Israeli presence would’ve developed into a fierce resistance.
To be honest, it would have been manageable; the Syrians may have been butchers (as they pretty much cleared out the Palestinians or suppressed them after the Yanks pulled out), but they knew how to play the long game. Israel could have potentially created a client state in the south to manage the region and sit back with an ally at its back.
Direct colonization wouldn't be possible. Unlike the Golan heights, which were (relatively) sparsely populated and easily defensible, or Sinai, which was a whole lot of desert, the south Lebanon region is hilly, good for defense, but densely populated. Sure, they're just Shi'ites, generally regarded as the scum of Lebanese society (aside from Palestinians), but the best guerrilla movements came from people with nothing to lose.
I think the biggest issue with the invasion was that it would have been Ariel Sharon's brainchild, and to be honest, the man was a go-getter like MacArthur - bullish, stubborn, and opportunistic. Had he not been removed from office of Minister of Defense over a procurement scandal, he in all likelihood would have gone ahead with the invasion. I mean, a limited attack in 1978 shattered several PLO units that had been conducting raids into north Israel, and the lack of any Lebanese resistance worthy of the name was incredibly tempting. By the time they got a new guy in office, the window had closed, the Americans got their ass kicked, and Ariel's replacement was a lot more cautious.