Mujitsu and Tairaku's Shakuhachi BBQ

Hi, Y'all.
I just bought a used 2.1 ShoFu wooden flute. I asked the seller the following question, and I'm wondering if anyone else can offer insights.

Background: I learned on a "Jon" jinashi with excellent tuning. The blowing edge isn't paper thin like the Kinko I just bought, and the Kinko seems much more demanding and specific in blowing style.

My question: The blowing edge on the wooden one is a super thin one compared to the one I learned on. It takes a very specific and very tight blow to keep it consistently in tune. The slightest change in embouchure sends it flying off out of control. If I blow it like my jinashi, it plays almost like a 2.0 rather than a 2.1, very sharp. Chi becomes "G" instead of "F#". Is the paper thin blowing edge something like an industry standard for modern flutes? The jinashi by Jon has a wide range of blowing options while still retaining a perfect pitch as a "B" flute. It's thicker and it seems to be made for pointing the flute more toward the ground (45 degrees or less). The wooden one seems to want to be more parallell to the ground unless I give it a very deep and super tight blow with an elongated "lip-hole tunnel". Does anyone have any tips for this one?  By the way, I like the "Big Sound" of the wooden flute. It doesn't vibrate like bamboo, but the sound is very big and seems to carry far.