Control

Private foundations provide more control to the donor than donor-advised funds (DAFs) because the donor has the right to distribute the assets and stay in control of the foundation's operations. Private foundation family members can also stay in power over time by writing that family members are to serve on the board of directors in the organizational documents. The DAF does not allow much control following the gift or over the investments. The gift becomes the property of the sponsoring organization, which then has ultimate authority concerning all parts of the gifted property: investment management and deposition. The asset management of the DAFs is also typically limited to the investment pools the sponsoring organization offers. The private foundation may be more fitting to gain greater control in your charitable process; however, some donors may favor DAFs if there isn't much desire to have control.

https://www.cnb.com/private-banking/insights/daf-vs-private-foundation.html