What does perfection have to do with death and sickness?
I don't see how getting sick would imply imperfection, in this case.
Bless'd are the humble, right?
Sin causes death, and illnesses are part of the degenerative process leading to death. When Jesus healed a paralytic, he first said the man's sins were forgiven, linking sin and sickness. Elsewhere, the Bible links sin and sickness. (Isaiah 33:24)
Under God's Kingdom rule, sicknesses will no longer exist. Jesus healed persons with various sicknesses, showing his power and desire to remove such things from mankind. Revelations 21:3,4 promises that God will wipe all tears from people's eyes, which include the tears caused by illness. Sickness and death came into the world after Adam's sin and did not exist when God blessed the first human couple.