I'm not sure how is that related to the original topic.

The events I am describing are a decade to two before the ones you are describing. Back in the early 2000s Qatar was already financing Hamas as well as Al Qaeda (including involvement in 9/11 financing) and Hezbollah in some extent.

Saying Qatar needed Israel's request to start financing ideologically close Islamist terror organizations is certainly the Qatar government line for their involvement, but it's a very shallow analysis of what happened