Now First off this isn't a truly 100% accurate test I just threw it together in like 15-20 mins, but it does provide a firm base of what really happens. ( That being recovery slows your auto attack. )
So if I forgot suttin, tell me and I'll gladly retest again.
I tested this against 2 mobs :
Lvl 48 Dune spider
Lvl 47 Dune scarab
Now obviously I didn't want to ruin the test by using t8 CA's so I created a Hot bar with a select few level 40-50 CA's ( all app1 fyi )
The weapon I used was Turadramin's fang ( 1 second base delay ) I don't have the link, but trust me it does pretty crap damage, Also I had a dps mod of 0 and a haste mod of 28.
The haste mod of 28 put me at exactly .8 seconds delay.
Here is a screen.
And yes I had to pay a plat for that fucker.
Neways it's at .8 delay, which matches up PERFECTLY with my CA cast/recovery time ( with sailwind it is .8 obviously ).
The lvl 40-50 CA's I used were Aggravated assault, subdue, gambit, waylay, desperate thrust, concealed blade. Six Ca's Total.
This is the following parse again SPAMMING those 6 CA's. ( the predicted outcome should be approx 12 auto attacks, since I can attack before and after each CA. )
As you can see Each CA only hit once ( aggravated assault is 2 hits, but still one CA ) and I got 13 hits, which is about right. The 13th swing was prolly the last little shred of hp left of the mob after it survived all my CA's.
Now for the other fight, I used the shortbuff deceit ( or w/e the t7 version is called ) Which put me at .6 sec weapon delay.
Screen :
Now if Recovery did not effect auto attack delay at all then the predicted out come would have to be more then 12, because I'm only using 6 CA's for these fights. Nothing else changed except haste.
Parse :
We got 12 hits only for auto attack, which means auto attack was pushed behind recovery time because the weapon was simply too fast for the CA's to keep up with.
So now can we put this rumor to rest?
Recovery does in fact effect auto attack delay.
This is a huge reason why slow weapons are sought after, they are just that much easier to time CA's in between, so they in fact miss less then faster weapons do ( because you don't push as many auto attacks behind recovery as you do with faster weapons. )
However considering this is a swash forum, if you are using inspiration, ignore this whole post ( when it comes to inspiration only), because since inspiration is a 100% proc, you want the fastest weapon possible to have during that 13 seconds.
I posted somewhere before but it's something like if u have a .4 sec delay weapon then you can hit 32 times during inspiration. Not including procs off hurricane.
So basically just have a fast weapon to switch out to for when it's up. Then switch back.
Edit :
Sorry for the big screens lolzzz