I read in the release notes of Bash 5.1 these the interesting items:
z. The `@a' variable transformation now prints attributes for unset array variables.
aa. The `@A' variable transformation now prints a declare command that sets a variable's attributes if the variable has attributes but is unset.
So let's check how they work. Firstly, with Bash 4.3 to see the progression and see they used to produce the same:
$ declare -A arra=([k1]="v1" [k2]="v2" [k3]="")
$ echo "${arra[@]@a}"
v1 v2
$ echo "${arra[@]@A}"
v1 v2
Now with Bash 5.1 using a sequence of alternating keys:
$ declare -A arra=(k1 v2 k2 v2 k3)
$ echo "${arra[@]@a}"
A A A
$ echo "${arra[@]@A}"
declare -A arra=([k1]="v1" [k2]="v2" [k3]="" )
So @A is useful to see the definition of the array, whereas @a gives an "A" for every associative value. Does it?
Checking on the Bash 5.1 Reference Manual → Arrays section says:
${parameter@operator}a
The expansion is a string consisting of flag values representing parameter’s attributes.
But I don't see what else apart form an "A" can come as an output. If I use it against a normal variable, it does not produce anything:
$ v=1
$ echo "${v@a}"
# nothing
$ v="hello"
$ echo "${v@a}"
# nothing