Well, not the whole plane was made of wood, the fuselage was metal , the wing and tail was partly made of metal (controll surfaces) and mainly made of wood. According to Eric Brown, an RAF test pilot, who flew most early jets (Meteor MK III, MK IV, D.H. Vampire, Me-262, He-162, P-59 and P-80) the He-162 was the best of them.
I disagree that it is (...more than a Me-262...) a death trap, but we may discuss it on another board if needed.
Official confirmations haven´t made by Luftwaffe (except for Kirchner, but posthumus) for He-162 claims, but there are eyewitnesses in most cases, which implie that it could be. Verification is needed.
I wonder about Dr. J. Prien that he doesn´t refer to the flight log of Schmitt, which support his claim with an entry "...Tempest effectively shot". Schmitts claim can be connected with a Tempest of No.222 squadron lost by a small jet plane (pilot F.G. Austin KIA) over northwestern Germany at May 4th,1945. Dickfelds claim is also his 136th aerial victory.
With 5 out of 6 claims unconfirmed and only one confirmed it is easier to disprove one claim than to disprove the other five. However, it´s not that easy, I think.
I found out that F/O Walkington of No.222 squadron (Tempest) on 19th of april strafed Husum airfield (an airfield of JG 1), where he chased a small jet plane. Subsequent analysis of combat records and gun camera film revealed that this airplane was a He-162. One of those rare He-162 kills.