It might be more accurate to say Israel propped up Hamas through various channels (including Qatar) as a general strategy of undermining the Palestinian Authority and split Gaza from the West Bank. "Supported" can have many different meanings that don't require direct Israeli government funds. To me, this sounds like classic blowback to Western meddling, and whether Israel directly funded Hamas is a red herring.
It's like the phrase "The CIA used drug money to do XYZ" is less of a mouthful than "The CIA manipulated ABC regional politics and XYZ violence such that the drug trade benefited allies and harmed opponents of the CIA."