Spigen Nano Liquid
While we mentioned two main styles of screen protectors earlier, you actually have a third type. Spigen, a trusted name in smartphone protection and cases, offers a "nano liquid" you can apply to your screen for protection without adding the bulk.
If you hate thick glass protectors and don't want a cheap film, this nano liquid is worth trying. Spigen's option here is a nano-hydrophobic liquid you wipe on the screen that creates a strong layer and bond over the top of the screen. That way it's tough like glass, won't get scratches easily, but it's still thin and you don't lose touchscreen quality.
Keep the look and feel of the LG V40 and it's big, beautiful screen by using this instead of an actual glass screen protector.