Israel is pretty tolerant of meek criticism and regular old antisemitism (e.g. like that employed by their allies Orban and evangelicals/southern baptists).
BDS constitutes much more of an existential threat to the state - they're keenly aware of its pivotal role in taking down apartheid South Africa.
That is, it's the explicit anti-racist grass roots and history of the movement that they object to so vehemently.
This is why they routunely throw out unfounded accusations of antisemitism & throw all the quite considerable lobbying firepower they have in key countries to try and stamp it out.
Support for killing BDS in other countries is as a result, indirectly, an accurate bellwether of which politicians will support/tolerate racism and which politicians can be bought (e.g. Trump - big ally, easily bought, largely pro-racism). There are some in most countries.