They ARE suggesting such things (including forms of "not looking") even for deadly ones. In these cases, it is couched in terms of what follow-up is "deemed necessary" (see later) depending on stage classification of that cancer. There is a range of responses that's possible and new research and procedure advancement coming online on a 5-yearly basis in addition to variations in capabilities from hospital to hospital - so a pretty volatile environment - yet the staging recommendation gets changed often based on what health care professionals estimate they can sustain society-wide - i.e. manpower - rather than what might be optimal from a survival point of view for that patient.

To pick one specific example, skin cancer visual screening seems currently recommended on a frequency based not on the speed of evolution of, say, melanoma - which can start and evolve pretty fast -, but on the manpower availability of dermatologists.