Instead of using internals you can just call parent
:
julia> T = LowerTriangular(rand(3, 3))
3×3 LowerTriangular{Float64, Matrix{Float64}}:
0.171761 ⋅ ⋅
0.381324 0.648652 ⋅
0.672454 0.111463 0.15696
julia> parent(T) .= 1
3×3 Matrix{Float64}:
1.0 1.0 1.0
1.0 1.0 1.0
1.0 1.0 1.0
julia> T
3×3 LowerTriangular{Float64, Matrix{Float64}}:
1.0 ⋅ ⋅
1.0 1.0 ⋅
1.0 1.0 1.0