You‘re right so far, that normaly you should comply - beeing well ahead of the bird.
But getting caught out, it won‘t necessarily reduce your workload start flying by hand, just keep the option to ask for time/directions in mind, before getting even further behind...
As well, with the AP doing the work, you have also the option to reduce speed i.e. from120 to 60 - which will double the availabe time ;-)