Nobody knows what that thorn in the flesh is (possibly unending oppositions and persecutions that created much hurt and frustration “in the flesh” in Paul, as he details extensively earlier in the same book, 2 Corinthians).
Your flawed syllogism is Satan’s carnal way of trying to discount the Word of God, hindering others from receiving what God has for them and failing to glorify God in his goodness, grace, and power. God’s word states emphatically and with many examples that Jesus “healed all that were sick” because he “took our infirmities and bare our sicknesses” - physically (Matt. 8:16-17).
Again, you “make the word of God of no effect through your tradition” (Mark 7:13).
Here is a way that your pleadings could be an aid to satan’s little season: by insisting that those NOT healed are somehow deficient, and by insisting ALL who call in good faith should be healed, you arrange a scene for satan to substitute his signs and wonders for real work of The Lord. During the Tribulation satan will come with all signs and wonders ...