I have both types. At home, I like to use open-backs unless I want to "rock out" and get more punch and liveliness from the music. For portable use, I only use closed-backs. They are more efficient to use with smartphones and daps, provide noise isolation, give microphone/remote ability, and are generally less fatiguing with increased volume to overcome ambient noises.
The Beyer's and the Senn's listed would not be a good match with the LG V20 due to their high impedance and needing more power than the V20 can provide.
Keep in mind, anything over 100 ohms should need an amp to sound their best. For example, buying the 600 ohm Beyers or HD650 would literally be a waste of money with no amp. For your Amazon post, I don't know why they included an SD card. It's a headphone and amp, the card is pointless and you won't need it. Maybe just buy the amp and headphone separately.
Closed vs open: Closed cans will usually offer more "thump" but may not sound as natural. For electronic and similar music, closed back works well because none of the instruments are natural anyway.
Good luck with your search!
So much non-truth being spoken in this thread.Have any of yall owned the V20? I do. I also own one(actually three) of the harder to drive 600 ohm HPs ever,The AKG K240 sextett . The V20 does in fact,drive the sextetts,and pretty good too! It doesnt get to ear bleeding levels,but it does the job much better than my dearly departed Magni Uber 2 ever did.
The issue with V20 is the extra juice that kicks in when you connect a 600ohm HP doesnt come on with less than 600 HPs,and there is no manual option to boost the power.Because of this the V20 struggles with headphones,like my Grado Magnum V4 Woodies,but does well with my sextetts...go figure.
TL,DR a 600 ohm HP will sound better on the V20 than a 300 ohm HP.
All that being said,nothing beats a nice amplifier for any HP,even the easiest to drive IEMs out there.
For HP suggestions I like Grados for rock,but theyre not great for bassy music. I also like HE-400s.The DT990 is quite bright and peaky,not to mention the mids are thin and give guitars no body or crunch.
I would also suggest the Meze99 and the V-Moda m100 if you opt for closed backs