Puck, I know how big those cages are, and I still think they are too small. I said the smallest I would recommend is a 32 x 21. And yes, I know it's 32 x 21 x 35 without the stand.
The HQ flight cage has approximately 23,520 square inches of space. In comparison, the 24 x 22 has 19,536 square inches of space. And for approximately the same price, the HQ cage is about 17% or so larger.
Parrots actually travel horizontally, not vertically, so a cage that is wider than it is tall is more beneficial than a cage that is taller than it is wide. Think about when a bird flies! Not only that, but a wider cage offers more usable space for placing perches, toys, dishes, etc.
I have also seen people put african greys and cockatoos in these flight cages! (*NOT* that I would EVER recommend that!) I have kept 2 (3?) different species of conures in my HQ flight cage, and have my mitred in half of an A&E double flight cage without issues. I have a 32 x 23 YML dometop that I was using for my mitred, but switched him into the half of the A&E cage to save space and to see if I could get him to get along with one of my other conures better. Not trying to pair them up, just trying to get them to get along better!
Jayde
Finn
Charlie and his half of the A&E double flight
Jayde, again, in the other half of the A&E double flight (not that you can see her toys!)
friendcaique, that would depend on the bird. Some caiques may do just fine in the flight cages! Others might not! It really varies. Here are some other options.
CH3528 DOME
Centurion Cage & Aviaries | Cages
King's Cages - Avian and Pet Bird Cages, Supplies, Food, Toys, Perches, Aviaries, Pluck No More
PC-4226D Platinum
GC6-3223 White
A&E Cage Co. Large Dome Top Bird Cage & Reviews | Wayfair
The 32" x 23"
Bird Cages: HQ Wrought Iron Double Play Top Cages w/ Cart Stand
Koloa Kavern? Bird Cage - Two Top Options, Large Bird Cages, Parrot Cages and African Grey Bird Cages at Bird Cages 4 Less