Okay, you definitely have an argument there. I think I'd still take the Minutemen first and take out a neighbor with a Renaissance war to get them promoted, though. Minutemen start with rough terrain bonus and Ally gifts start with a free promotion so you're just a few fights away from Medic 2. The Minuteman and the Carolean are the two melee UU's that have traits that make them better at melee's job, and putting them together just makes things silly.
Well, no actually.
Minuteman gains MOVEMENT BONUS in harsh terrain. NOT COMBAT BONUS. But, they are still very good units of course, and they get better when upgraded into great war infantry and infantry.
Aztec jaguar -> rifleman is still better unit though, but it takes more costly unit upgrades of course.
Aztec jaguars have +50% jungle and forest combat bonus, also normal movement in jungle and forest, also heals back immediately some health after kills.
Possibly jaguars have also heroic epic bonus so they can be excellent units when upgraded into late game units.
Caroleans get march promotion free so I simply thought that they might have good synergy, with medicII.
You can literally spam march, medicII caroleans. MedicII gives healing bonus to unit itself also in enemy land, but medic line also gives faster healing for adjacent units.
MedicII land unit also can heal ships faster, if you put medicII into coastal tile and put ships near the beach, adjacent to medicII. Medic line also heals air forces faster, when medic land units is inside city.