It doesn't mean forever but it is widely understood to mean that there is no foreseeable resolution in the near future. I think most of us know to avoid the word unless we're signaling some degree of permanence.
Indefinitely doesn't imply permanence to me. I take it as meaning what it means: there is no reasonable prediction for when the situation will be resolved. Which seems correct for this case.
But there is a nuance to the message that is disingenuous. Diction and imagery. This isn’t a legal contract, it doesn’t matter if it is ‘technically true.’