testset verbose = true is not applied recursively

[tpapp]

The docstring of @testset says that

verbose::Bool: if true, the result summary of the nested testsets is shown even when they all pass (the default is false).

In the MWE,

using Test
@testset verbose = true "level 0" begin
    @testset "level 1" begin
        @testset "level 2" begin
            @test :a ≡ :a
        end
    end
end

arguably level 2 is nested within level 0, but in the output it is not printed

Test Summary: | Pass  Total  Time
level 0       |    1      1  0.0s
  level 1     |    1      1  0.0s

I don't think this was the intended behavior, but if yes, we should clarify in the doctring.

(Opening an issue to discuss before making a PR. Above output is from Julia v1.12.)