Generally a stepper motor works in discrete fixed “steps” , however these can be VERY small and approximate curves to all intents and purposes , IE if you take a diagonal line going from the lower left to the upper right , you can do it by going one step up and one along. Big steps will look like a staircase and not a line , a zillion small steps will look like a line.
A non stepper motor essentially does zillions of “steps” and it actually interpolates the line properly.
But there is another angle to all this. In general a servo type motor will have what’s called a shaft encoder on it , its a mechanism whereby the motor knows EXACTLY where it is or should be , much like a satelite navigation system which can pinpoint where you are and where you should be and how to get there no matter WHERE you are. Stepper motor driven stuff often doesnt have this , the software “counts” steps and bases movements on these cumulative “counts” (it assumes its in a position that is x steps up and y steps along) , however steppers can lose or miss steps , but the software is not aware of this and just processes further “steps”. Problem is , the position from where it did so is not correct , so any further cutting is misregistered or wrong. The servo motor with a shaft encoder is less prone to missing steps and will not fall prey to the misregistration issue.
Ideally you want a servo motor with a shaft encoder and at a minimum a stepper WITH an encoder. There are other more techincal issue , but I wont go into that.
Your best bet would be to subcontract these out to someone that has a thermal print and cut machine (the thermals have stuff you can apply to t-shirts). A simple cutter is very limited in regard to what you want to do and a Stika is really a toy.
As to EPS etc , thats a function of the software and not the machine.
Blade wear is related to material you are cutting , the biggest factor in blade wear is abraisive materials or the most common problem , cutting too deep and thus into the paper backing , paper is HIGHLY abraisive and will mess the tip. Blades are not expensive in respect of how much they cost vs how much they can cut and are hardly worth consideration as a major consumable or a high operating cost.