So if SCOTUS rules in favor of Peruta, what effect will it have on Hawaii, other than the state refusing to recognize and appealing the decision. Can they even appeal a SCOTUS decision?
I can speculate about that!

First, it's a giant "IF", as other nearly identical cases (some form of "good cause" requirement) have been denied cert the past few years. The "money" is on denial of cert with these relisting being used to allow for a dissent to be completed.
However IF Peruta is granted cert, AND IF Peruta were to "win", all that would do for Hawaii is (possibly) negate the "exceptional case" requirement (similar to the "good cause" specific threat requirement of Peruta). What it would NOT do is address all the other vague, ambiguous, arbitrary and capricious clauses in the law that would be available for Hawaii to continue to be a de facto "no issue" state. (See my post in another thread in this section briefly mentioning them:
https://2ahawaii.com/index.php?topic=27505.msg244037#msg244037). A SCOTUS Peruta decision
could, theoretically, address all those other restrictive licensing requirements, but it's extremely rare for a SCOTUS decision to address any issues beyond the very narrow question presented by the litigant, so it's highly unlikely that the court would go beyond the "good cause" issue to address things like "no 'unreasonable' training requirement" or "no 'unreasonable' cost" or "no 'unreasonable' limitations on carry locations", etc., much less some "strict scrutiny" decision that would dictate "no government approval or permission can be required" (i.e. permitless open and concealed carry). It would likely mean that even if Peruta were successful, that more cases would have to be filed to address the various other impediments Hawaii has created to deny citizens the right to lawfully bear arms, though some of those might be addressed in Young which is already at the Ninth, apparently waiting for the Peruta SCOTUS disposition.
By the way, I watched a video of Ed Peruta today prior to the announcement of another relist. It's not really worth watching (IMHO) as it's just rambling on about his shooting at a young age, etc., but right at the beginning he said "It gets a little old after, what, 8 or 9 years?" Also, he just got out of the hospital after suffering some kind of (realtively "minor") cardiac event. Oh, and he says he now "agree(s) with Nichols" that open carry is the right protected by the Constitution.
https://www.facebook.com/edperuta/videos/10154431553275952/