"And great multitudes came unto Him, having
with them those that were lame, blind, dumb,
maimed and many others, and cast them down
at Jesus' feet; and He healed them: insomuch
that the multitudes wondered when they saw the
dumb to speak, the maimed to be whole, the
lame to walk, and the blind to see: and they
glorified the God of Israel." Matthew 15:30,31

It wasn't their being sick but their being healed,
that caused the "great multitudes" to "glorify
the God of Israel".