Thattt.... Is a question I can't answer. It might not even matter. I just assumed the first cards you listed were visa /mc and not just store cards, like the citi furniture one. Store only cards definitely don't count, I don't know if visa and such do. When I got my CSP I chickened out and didn't go for the freedom because I was afraid of rejection with my 4 Visa/MC+1 CSP opened that day.
Everything besides the combining of the hard pulls I said though is definitely just speculation. Maybe they can see the csp app anyway, just better safe than sorry.
Maybe you could try calling customer service and just asking for the app id, then call backdoor to find out what's up? Lol. No idea if that would work. Just tossing out ideas.
This Is all a moot point if the hd and furniture card are store cards I think. Even with the secured card you could try and fight and point out the fact that its closed. I'd just avoid any mention of the sapphire if possible, except to those frontline reps who have nothing to do with approval but could maybe stop give you the app id
That moves my CSP app up almost a full year (figure my scores will be somewhere around 700 by March)!