Seems a semantics lesson is in order.
Motor starter: a device that starts and stops a motor. A motor starter is a combination of a switching device and an Over Load protection method. Can be manually operated or electrically operated. With a manual motor starter, the switching device remains it it's previous state if power fails, so when power is restored the motor can re-start immediately without warning.
Magnetic motor starter: a version of the electrically operated motor starter, called such because it uses an electromagnetic coil to close the contacts in a "contactor". The advantage over a manual motor starter is that if power fails, the coil drops out and opens the contactor, allowing the control circuit designer to employ safety protocols to restart the motor. The term "magnetic" was also necessary back in the beginnings of electric motor use because there was an alternative; a motorized automatic motor starter. They are no longer in existence other than museums, although the same concept is still occasionally used with large medium voltage motors where vacuum breakers are used as the control device. Still, the use of "Magnetic Motor Starter" persists.
"Starting" Current: The high surge of current that a motor will draw during acceleration when the inductance is low due to the rotor not yet fully interacting with the stator fields because it is not at speed. Starting current on a common "Design B" motor is typically 500-600% of the rated FLA, and persists until the motor reaches around 80% speed. On lightly loaded motors with low inertia, that may be only a second or two; on high inertia, high friction loads it may be a matter of minutes.
"Inrush" Current": The instantaneous current drawn by the stator winding when there is NO inductance to limit it, only the stator winding wire resistance. Inrush current persists for only a fraction of a second (less than 2 cycles) as the magnetic fields in the stator windings create magnetic flux in the steel core. Inrush current can be anywhere from 1300 to 2200% of the motor FLA , depending on design of the motor windings and the point of the sine wave at which the contactor closes. Unfortunately the term "Inrush Current" is often mistakenly used to describe "Starting Current"; they are NOT the same.
Reduced Voltage Motor Starter: A method of starting a motor by using a lower voltage (or lower effective voltage) in a stepped or ramped manner to decrease the voltage and thus the current going to the motor for the purpose of reducing the Starting Current (not "Inrush") drawn by the motor, and thereby reducing the torque that the motor produces during that time. RV motor starters can again me manual or electromechanical, but can also be solid state. Manual RV starters are all but forgotten now too.
Magnetic Reduced Voltage Motor Starter: any one of a variety of RV motor starters using magnetic coils in contactors to operate. There are several sub-methods of reducing the effective voltage in that system, all with different pros and cons, but all involve at least 2 steps and EACH step will have a spike of current and torque associated with it, albeit smaller and/or of shorter duration. So I like to describe them in terms of something a bully once offered to be: Do you want one hard punch to the stomach or two softer ones to your face? It's still going to hurt...
Solid State Reduced Voltage Motor Starter: , a.k.a. "Soft Starter", an SCR based RV starter method that gradually ramps the voltage going to the motor, so there is no transition spike of current or torque.
Over Load Relay: a device added to a contactor that senses motor current and interrupts the control circuit voltage (or in the case of a manual starter, releases the holding latch) so as to stop the flow of current to the motor. Can be Eutectic Melting Alloy (solder), Bi-metal, or now Solid State. ALL versions are designed so that the amount of time it takes to reset it matches the expected cool-down rate of a standard motor operating at 40 degrees C (104F) in an ambient environment of 25 degrees C (77F). None are "easier" to reset that the other. Melting alloy OL relays are more accurate and repeatable, but not able to be compensated automatically for changes in ambient operating temperature. Bi-metal can be made that way, but sacrifice accuracy and can "wear out" over repeated trips by building up "thermal memory", meaning they start to trip faster (not fail to trip). Solid State are now much better than both and can add effective phase loss, phase imbalance and arcing ground fault protection.