That suggests that lockdowns and vaccination together work better than vaccination alone, which is not particularly surprising. It seems, though, like you're suggesting that that means the vaccinations did nothing, which doesn't follow. It might well be that the case counts would have been twice as high if nobody had been vaccinated (or, who knows, ten times), and maybe some percentage of those additionally infected people would have died, or suffered long-term health outcomes. There's no way to know what the appropriate counterfactual is from this data alone.

Gibraltar isn't an island in the middle of the ocean. It's a tiny peninsula attached to the Spanish city of La Linea de la Concepcion. Many Gibraltarians interact with Spaniards on a daily basis. And indeed, the spike in Gibraltar cases coincides exactly with a much larger spike in cases in Spain:

https://www.worldometers.info/coronavirus/country/spain

Fair point but the fact remains that transmission is occurring between vaccinated persons. Nobody is disputing this. Israel is one of the higher vaccinated populations and they're at R1.1 as of today.