Chat: There was some reason why Timothy, Trophimus and Epaphroditus were exceptions because Paul could not heal them.

Paul was giving Timothy, who was getting healed but getting sick again, natural advice on how not to get sick in the first place.

Trophimus was sick, but we don’t know much else about the matter.  The mere fact that his sickness was documented doesn’t make it God’s will any more than it was God’s will for Demas to love this present world and forsake Paul 10 verses earlier (2 Timothy 4:10).

Epaphroditus ALMOST died from an illness, but God healed him, which makes him a miserable example to try to prove that God DOESN’T want to heal everyone.

There are a lot more thoughts on these matters in the following objection replies:

Objection: Paul Told Timothy to Drink Wine Instead of Believing God for Healing

Objection: Paul Left Trophimus at Miletum Sick Instead of Healing Him

Objection: Epaphroditus Worked Closely with Paul, Yet Was Sick unto Death