Locking the FPS to match the monitors refresh rate won't get rid of tearing, that's a myth. It screen tears because the GPU and monitor aren't in sync. It will happen if you are below AND above the monitors refresh rate.
For simplicity I will use 60 and 120 Hz as examples:
A 60 Hz display refreshes every 16.67 ms, this is because 1 / 60 = 0.016 (16.67) ms. This means that the monitor picks up the frame in the GPU's frame-buffer every 16.67 ms, meanwhile the GPU draws a frame in the back-buffer. It then copies the frame in the back-buffer to the frame-buffer as often as it can.
Okay, so we know that a 60 Hz display refreshes every 16.67, but why does it tear? That is because the monitor has a set refresh rate, and it picks up the frame from the frame-buffer, at the same time the back-buffer copies it's frame to the frame-buffer.
The display don't draw induvidual pixels, it happens immediatly and parallel across all it's pixels. It's not the monitor that is half finished, it's the graphics card that is half finished and the monitor that is causing it. The monitor has a set refresh rate, again: 60 Hz = 16.67 ms. The graphics card does not.
V-sync, G-sync, FreeSync, will stop this from happening, but locking your framerate to the monitors refresh rate, will not. However, by using a faster monitor, such as the 120 Hz displays. What happens is that screen tearing occurs twice as much on a 120 Hz display, than on a 60 Hz--but why is the 120 Hz display better? That is because the difference between 2 frames, is going to be much smaller (faster). Simple math tells us that 1 / 120 = 0.008 ms. That is indeed much lower (faster) than what a 60 Hz (16.67 ms) display is capable of.
This means that the frame that is tearing, spends half as much time as the 60 Hz display, on screen. The result is that it's very hard for us to actually notice the tearing, on a 120 Hz display, in comparison to a 60 Hz display. Triple-buffering could certainly be an alternative, provided your GPU has got the small ammount of VRAM required, leftover.
But bottomline is, without V-sync, G-sync and FreeSync--you will have tearing. While a higher FPS will make the GPU render a lot more frames, which increases the chance of screen tearing, again, it doesn't mean that there is a big difference between high and low FPS, regardless of what the monitor's refresh rate is.