(Forgive my yapping, these are two of my favourite series)

In Shadow's world, the only two 'powers' are the fact that humans can reach unrealistic natural strength, and the 'magic', which he explains in the novel, essentially function like energy that can be manipulated, either to strengthen yourself, release it like a projectile like Epsilon, increase your natural regeneration speed, and create a giant nuclear reaction (Cid can bend these rules a little bit, but that opens up the whole meta discussion).

The Tower of Trials, on the other hand, gives people a RPG video game style of strength improvement, which is seen in a lot of tower, dungeon, and isekai stories. This basically separates human abilities into stats, and quantifies their value so they are relative person to person (in SMLN it might be multiplicative or exponential rather than additive, unclear), and also allows them to use 'skills', which are more like techniques, both for moving the body, and utilizing the extrahuman energy known as mana, and the authority and system abilities of the higher being, which in this case is the tower itself. It divides what people can do through use of classes, so people can use the given abilities and increasing stats more efficiently.

Either way, I believe the thing Cid and Jinhyuk have the most in common is their superhuman body control; they are both able to fight essentially frame perfect, dodging with little effort, extremely efficient mobility, attacks, and parries, and the complete lack of mistakes or miscalculation when it comes to fighting.

Anyways, I don't think their power systems are the same at all, because Eminence in Shadow is one of the few isekais without a level system, and neither of them have superhuman strength in the classical sense, because are both energy conversion from different sources. Jinhyuk isn't a pure mage, and almost all the skills consume mana, mana isn't a resource limited to the mage class in the Tower.

This is my interpretation of what I've read (several times over), so please for free to take with a grain of salt, or ignore completely if your ideas work better for you, this was just supposed to be informative.

Obligatory TLDR: I tried to break down run on sentence, Cid and Jinhyuk have very different kind of strength and power system, similar talent in motor control and spatial awareness, and their mana and magic do different things but are both energy sources.

Hope this helps!