Tab completion not working with module specification in @time calls involving another macro

[jishnub]

This seems similar to #51827.
What doesn't work:

julia> @time @eval Base.Iden<TAB>

No completion or suggestions are offered.
Using either @time or @eval in isolation works, but the combination doesn't.
Versioninfo:

julia> versioninfo()
Julia Version 1.12.0-DEV.1024
Commit e7e8768a775 (2024-08-08 23:44 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 12 × Intel(R) Core(TM) i7-10750H CPU @ 2.60GHz
  WORD_SIZE: 64
  LLVM: libLLVM-18.1.7 (ORCJIT, skylake)
Threads: 1 default, 0 interactive, 1 GC (on 12 virtual cores)
Environment:
  JULIA_EDITOR = subl

However, this behavior is present on v1.10.4 as well.

This isn't specific to @eval, as the same behavior is seen if other macros are used:

julia> @time @code_warntype Base.Iden<TAB>

Curiously, swapping the order of the macros gets completion to work:

julia> @eval @time Base.Iden<TAB>
julia> @code_warntype @time Base.Iden<TAB>

These complete as expected, so perhaps it's only certain macros for which this doesn't work.