The fighter made several mistakes:
First: Fighters (As well as most Melee) typically make Horrible Scouts in Crystal Cove. Since, to begin with,The Cove is not melee friendly at all, and a Scout needs to be highly self sufficient. IE:Wizards, WF Sorc, FvS, Clerics, Rogues (With high UMD), Bards, Etc. Someone that can nomrally take care of things on their own.
If the fighter needs a heal-bot to follow them around, that deprives the other 4 members of the group of healing. Which is not a good group make up or a good call for the fighter to do.
If the Fighter needs the healing and has zero self sufficiency, then the Fighter and the Healer should hold center, that way the rest of the group knows where to run if they need heal and back up fighting.
Second: The fighter needs to learn about Raidiant Servant Aura. Stay near the Cleric. Fight with the cleric, get healed at the same time. Also makes things easy for RS burst to heal. If the fighter is not going to stay with you, that is their choice. But it is a bad choice.
Last: There is nothing wrong with mixing it up, but, the party needs you to heal them, and that is a big role to fill. Anyone knucklehead can want to get into melee, so that is not a role needed. But not every class can heal effectively as a cleric. Keep that in mind, as you play in a group. You are the best healer so they will look to you to provide it.
And remember.. it is a game.