...that's not how hospice works. Hospice is just care to keep a patient comfortable through a condition they're not expected to survive. Food can be part of keeping a patient comfortable if they're able to eat. Some people aren't able to eat, and then you start getting into the hard questions like whether it's ethical to keep someone alive with a feeding tube and IV drip just so their brain can soak up more morphine, but the cutoff of life sustaining treatments depends a lot on the nature of the condition, what the patient stated when they were in a sound state of mind previously via a 'living will', or at the discretion of family.

But yeah, you can be on hospice for months - they absolutely feed you unless there's some reason not to. You can also come off of hospice if the underlying condition improves on its own and it starts to look like you'll actually recover - it's not a death sentence or assisted suicide or anything.

Treatment depends on condition, they don't just starve everyone to death

Hospice is comfort care. It's letting the person die naturally while doping them up on pain meds so they aren't as miserable. It's not state assisted suicide (that's something else), it's about not giving additional interventions to someone who is terminal anyway and helping them be as comfortable as possible with the time they have left. If the person is able to eat they can eat, and if they can't eat on their own that's an additional conversation between the patient and the family and their healthcare team. Normally they would not be tube fed, but sometimes people aren't comfortable with that and then that's additional conversations of what needs to be done. You don't just go on hospice and instantly get starved, people are on hospice for weeks to months, that physically couldn't happen if they are starving everyone.