I think you have been mislead by salesmen.
Vector does not modify motor, it modifies motor excitation control.
In any induction motor, the magnetic field from the field (stator) must both excite the rotor (magnetize it) and also react against that rotor magnetization to produce rotor torque.
When run at full line voltage and frequency, the induction motor is an efficient torque producer only over a very narrow range of shaft speeds, that have the rotor almost but not quite keeping up with the rotating magnetic field produced by the stator. This small slip speed is what both keeps the rotor well magnetized, and also keeps that magnetization at the proper mechanical angle with respect to the stator field, to efficiently produce torque.
If you need efficient torque production at variable speed, the drive must supply the motor with the voltage and frequency combination that keeps the rotor magnetized, and also its pole positions properly phased with respect to the, now, variable speed rotor field.
Vector drive is a way to most accurately keep both the rotor magnetization and phase angle simultaneously optimized. The simplest vector drives include a position sensor on the motor shaft, so they know exactly what the rotor speed and angular position is at all times. Sensorless vector drives use precise measurements of motor current to calculate approximately what the rotor magnetization and position are (using the motor as its own position and speed sensor). Those calculations are a bit circular, so these drives are not as good at extreme operations (smooth torque in either direction through zero speed, very fast load steps, etc.) but they can work with any induction motor, with the correct set up.