"Hex: some Pennsy-Dutch decor. Wiz: Oz oligarch of yore..." Seven Corpses (Exquisite-type): Constrained Nonsense

Corpse One: Hex/Wiz/Seat/Corpse

Hex: some Pennsy-Dutch décor. 
Wiz: Oz oligarch of yore.
Seat: soft spot when butts are sore.
Corpse: one damn cadaver. 

Corpse Two: Hecht's/Whiz/It/Corpse 

Hecht's: defunct department store.
Whiz: that ersatz cheese you pour.
It: part Bow,* part Addams lore.**
Corpse: yes, ma'am: cadaver.
     * Clara the It Girl  
     ** The Addams Family's cousin It. 

Corpse Three: Egg/Squeeze/"Sit!"/ Corpse

Egg: what comes before the chick. 
Squeeze: a baseball bunter's trick.
"Sit!": command to Spot or Vic.
Corpse: grand-slam: cadaver. 

Corpse Four: Aix/Quiz/Zit/Corpse

Aix: The Great Chas* knew it best.
Quiz: a small exam, a test.
Zit: no adolescent jest.
Corpse: press'd ham: cadaver.  
     * I.e., Charlemagne with reference 
to his palace complex at Aachen 

Corpse Five: Haig's/Swiss/Hit/Corpse 

Haig's: "This junk belongs to Al."
Swiss: not unlike Emmenthal.
Hit: ...but who would shoot a pal?
Corpse: lost lamb: cadaver.

Corpse Six: Aches/Oui!/Sid/Corpse 

Aches: first fruits of one's malaise.
Oui!: like 'si!' but en Francaise. 
Sid: from TV's golden days.*
Corpse: Vet (Nam) cadaver. 
     * Caesar (the comic not the emperor) 

Corpse Seven: X/Wheeze/Zed/Corpse 

X: Abu Kamil's* unknown.
Wheeze: how labor'd breathing's shown. 
Zed: initializes 'zone.'
Corpse: Go! Scram, cadaver!  
     * One Arabic algebr'ist