I've never, in my life, had or seen a phone that warps, spring loaded antenna connections are a complete non issue
Double sided adhesive is used in almost every phone in some fashion and is in no way indicative of quality issues
Impact zones and "communications tape" ????
Tape used instead of structure and shielding
I see three instances of using "tape"
Attaching the antennas and inductive charging circuit to the back cover with "tape". This application is typical and I believe if you open up many devices you'll see the same thing. This stuff is really pretty robust and is not intended to be removed.
The tape around the battery appears to be Kapton tape. This stuff is pretty nifty and is used on all sorts of electronics including satellites. It doesn't leave much, if any residue on what it is applied to. I can't tell what exactly it is being used for in this application but it doesn't look structural at all. Maybe just holding that RF cable in place to reduce strain. You can see a similar application of Kapton tape in this picture of the Galxy SIII on the RF cable.
EMI tape in the upper right. Again this stuff is used in all kinds of electronics. It is a bit messy when removing it, but it looks like it is applied over the main board. If you are trying to get on the main board you might have a bigger problem than just replacing some tape. They may have skimped here for cost reason rather than a metal shielding can, but it very well may have been used due to space constraints as well.
Spring Antenna Connections
I see no problem with the application of spring contacts in this application. With a plastic case, the concern for flex and other such mechanical changes may be a concern. However, the glass used on the phone should be quite rigid. Proper engineering of these contacts should take into account the worst case contact pressure and ensure that the minimum compression on the springs (usually around 15%) takes place.
Lack of impact zones
I don't even really know what this guy is talking about here. Without a complete tear down I don't even know if you can make such a statement.
Basically what it boils down to is this guy is doing backyard, seat of the pants, engineering. These devices aren't just put together willy nilly and have quite a bit of analysis both electrical and mechanical done.
I fully agree with you as someone who has worked on products similar to this. Everything "bad" he brought up is standard practice in the industry. The only time this wouldn't be acceptable is if it was a user replaceable battery, which it isn't.
People need to get this into their mind more clearly. This phone is NOT designed to have a user replaceable battery. What you can see in the pictures is almost certainly a pouch style Lithium Polymer cell, these do not have the hard shell that a typical removable Li-ion cell has. Due to this, they are significantly easier to puncture/tear/bend in such a way that you create an internal short and at best ruin your battery, or in the worst case, cause a fire. It is nice that LG designed the phone so it is easily repairable, but the battery should only be replaced if you have to, preferably by someone who knows what they are doing.