The Apache Software Foundation has no problem with hosting competing projects. There is no top-level technical direction by the Board or any other entity. There's no "steering committee" or the like where companies pay to play and push the organization to pump up their preferred project.
This is one of the fundamental reasons that the ASF is successful. Any time you see the ASF criticized for hosting competing projects without addressing this point, feel free to dismiss the critique as facile and uninformed.