Ok, just mathed it out!
Edgar vs. Delita status resistant set up do 3HKO each other (assuming Drill vs. Holy Explosion), by which I mean they're both idiotically close to failing; Edgar struggles more, mind.
*HOWEVER*, Edgar has ways to work around this, Delita does not. Observe!
Edgar can equip Crystal Helm for an extra +10 Defense, which makes him survive EASILY. Even if you re-average the cast to reflect defense optimization, even being so picky as to say Dark Hoods over Circlets, Locke/Setzer using Crystal Mail over Dark Gear, etc, Edgar still pushes Delita's damage to 4HKO rather easily. Delita cannot do any of the same to Edgar without dropping some of his status protection.
Alternatively, Edgar could use one of his Drill attacks as Chain Saw instead. Chain Saw + Drillx2 is an INSURED 3HKO 75% of the time; only time it fails is if Edgar's Instant Death kicks in on that ONE Chain Saw usage.
IOWs...
Assuming Delita was in fact Faster, Edgar wins 75% of the time, Delita 25% of the time. Ouch!
If Delita tries to outstatus Edgar before Edgar kills, on average he'll lose. Remember that the noteworthy status moves are also significantly weaker than Holy Explosion.
As a reminder, for Delita to resist both of Edgar's status, he gives up a Bracer (+3 PA), some HP (CHamelon Robe is -20 vs. Black Robe, -70 vs. Crystal Mail) *AND* the Black Robe + Ice Brand combo in favor of a simple Rune Blade (so, unless my math is off, that means Holy Explosion goes from 22 WP (in practice) to 19?) Its a crucial HP loss cause Edgar now 3HKOs, *AND* its a huge drop in damage.
Oh, should note this...
Delita being faster is not enough. A large part of his damage comes from the Bracer. The only way he can block confusion is by dropping that Bracer for an N-kai Armlet (or whatever the confusion blocker is), so while yes, Air Anchor would fail (Delita just barely 2HKOs Edgar damage optimized...and that's NOT defense optimized, so he may STILL fail at that), Noiseblaster would lock Delita up pretty well as Delita's Speed edge wouldn't be very high.
So for Delita to win, he must achieve all of the following:
1. Be faster than Edgar (I think people were saying Edgar is probably faster)
2. Be allowed Chameleon Robe + N-kai Armlet (or whatever the confusion blocker is)
3a. MUST 3HKO through a defense optimized Edgar despite the above 2 Equips
3b. Have a low enough status rate threshold that sees Delita's status kicking in by turn 3.
If Delita fails #1 or #2, he's lost, plain and simple. Edgar outstatus' Delita if he fails Criteria 2. If he fails Criteria 1, either Edgar kills first on damage, or Delita's status just doesn't kick in fast enough (2 shots of 25% status is NOT gonna be turn 2.) 3a and 3b are listed as such cause Delita is allowed to fail one and still have a chance of winning. However, #1 and #2 are absolute musts.
Seems the fight is in Edgar's favor, if you ask me.
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Edgar is a bit sluggish, but then, Delita is subpar himself, so Edgar being faster isn't an unreasonable view. I'd need to look at their exact speeds, and it also partially depends on whether you factor in Equipment or not. If you factor in Thief Hats, Delita most definitely loses, as Edgar's at worst...5 points below average FF6 speed? Which isn't even 10% difference (and if you allow Edgar the Aura Lance, he can get another +3...or Longinus gives +3 too <.< >.>) Delita meanwhile ends up like 8 speed vs. an average of...10? with Thief hats. Yeah...there's a decent argument for Edgar being faster in any event.
Edit: OK! Delita's a little faster than I thought; he's 9 speed, so yeah, oops <_<;