Assad has no control over the Iranians at all. Putin, on the other hand, can tell the Iranians what to do. Just a matter of who really wants to throw down. He doesn’t want to have to pressure them, and they would get utterly wrecked if shooting started.
All the same, Israel is saying that Assad regaining power helps their security.
It is a rather different attitude toward that expressed not so long ago. I might say that Israel has “realized” something but I believe to a certainty that Israel is totally aware of the current circumstances and changes its own stance without delay when the situation changes; rather as Trump does.