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It doesn't show any such thing. The invasion of Lebanon was because Hezbollah, who are in Lebanon, declared war on Israel on October 8th, and had been bombing Israel for almost a year. Israel invaded to put a stop to this war.
Syria is (at least currently) a preemptive move to protect Israel from a potentially-adversarial enemy on its borders.
Even when Israel is killing them?
> They're hostages too, which is why Hamas has been able to occasionally exchanged hostages with Israel.
So first of all, they're not hostages. They're maybe temporary prisoners of war, though really they're security detainees. They are largely treated far better than the hostages that Hamas holds are treated, and are eventually released if there is no real reason to hold them. I don't think there are many that are held for a year.
Secondly, even if you disagree with all the above, that has nothing to do with why Hamas is able to exchange hostages with Israel. Hamas is able to do it because they have leverage by taking hostages. That's the whole reason. The people Hamas wants freed are not the security detainees you're talking about - it's the people serving life sentences after being tried and convicted on terrorism charges, usually people that have killed many civilians.
This is literally a big part of the negotiation - Hamas demanding "worse" offenders be released, Israel trying to have veto so it won't have to release the worst offenders.
Most of those people are unaware that Palestinians and those organizations directly took that saying from Likud, the hard right political party currently in power in Israel - the saying was a literal election campaign of Likud in the 1970s.
In any case, your comment seems to suggest that Palestinians /could not/ have come up with this phrase, and had to resort to stealing the occupier’s, which is wildly misleading.
In any case, the origin of the phrase is ascertain.
I'm sure they could have come up with it themselves had they wished.
But whitewashing it as just a saying on Israel's part, but a threat on Palestine's... given that multiple members of Likud, often in official capacities, openly espouse and encourage exactly that, taking more land from Palestine.