I'm not 100% sure, but I think you can't trigger Tyrion (KL) response. When he comes out of the shadows he becomes immediately a duplicate (so a card with no text, abilities, etc etc) and you can't trigger anything. And this triggered effect is self referencial, so I think only KL Tyrion can be affected, but he is a dupe now, so…
It's like Meera Reed: if you have her in play and another copy in shadow, you can pay one gold to bring her out of the shadows, but you will not blank any cards.
There is a difference though.
Any Phase: Bring Meera Reed out of Shadows and into play by paying the rest of her gold cost. Then choose 1 non-plot card (2 instead if it is Winter) and treat its printed text box as if it were blank until the end of the phase.
Meera's ability only happens when she comes out of shadows, and this scenario is a dup coming out of shadows.
Tyrion is a response to a card coming out of shadows.
Response: After a card comes out of Shadows, Tyrion Lannister gets +2 STR and gains your choice of Deadly, Renown, No attachments, or Immune to Events until the end of the phase.
So Tyrion can trigger his response off any card coming out of shadows, which Meera cannot.