Can't compute eigenvalues of Hermitian Diagonal matrix for generic types

[araujoms]

As the title says, the following code fails:

using LinearAlgebra
using GenericLinearAlgebra
m = Hermitian(Diagonal(randn(BigFloat,2)))
eigvals(m)

This is not related to BigFloat, it also fails for Double64 and Float128. I think the underlying issue is the same as #53564, the lack of a universal fallback.

To make life even stranger, after GenericLinearAlgebra is loaded this code starts failing even for Float64. That is,

using LinearAlgebra
m = Hermitian(Diagonal(randn(Float64,2)))
eigvals(m)

works fine, but

using LinearAlgebra
using GenericLinearAlgebra
m = Hermitian(Diagonal(randn(Float64,2)))
eigvals(m)

fails.