Sony didn't 'fund' them, Sony (SIE specifically) bought the 100% of Bungie.
So they will keep Destiny 2 and their future games multiplatform (including Xbox) because Sony allows them to do so. Jimbo is their boss now, so if somewhere in the future he changes his mind and decides to make their games exclusive Bungie will do so.
SIE now will have two publishers: Bungie (who will remain multiplatform) and PS Studios. But both inside SIE, under Jimbo's control. Bungie is now another Sony team more. Bungie can't decide to go away or to sell their IPs. Sony allows them to have some freedom but Sony owns Bungie and all their assets and Jimbo is free to change all Bungie plans and to do whatever he wants with Bungie, their employees and their IPs if he ever decides to do so.
Yes, what it's said there fits 100% with what is written there. SIE bought the 100% of the shares of Bungie and now SIE is the only one who owns and controls Bungie and all their assets, and Jimbo is their new boss. Jimbo decided to allow them to continue being a multiplatform publisher inside SIE.
And if somewhere in the future Jimbo changes his mind and decides to change his plans regarding Bungie or Bungie's IPs he will do whatever he wants with them, because SIE now owns 100% of Bungie.