Because SMatrix{3,3,Float64}
is an abstract type.
julia> SMatrix{3,3,Float64}
SArray{Tuple{3,3},Float64,2,L} where L
julia> A = rand(SMatrix{3,3,Float64}, 1000,4);
julia> @btime inv.($A);
161.200 μs (4002 allocations: 593.83 KiB)
julia> A = rand(SMatrix{3,3,Float64,9}, 1000,4);
julia> @btime inv.($A);
48.200 μs (2 allocations: 281.33 KiB)