How to find out if precompilation during Pkg.add was successful?

Assume some Julia code adds a package pkg via Pkg.add(pkg). How can subsequent code determine if the package precompiled successfully?

If precompilation did not succeed, then there will be an error when trying to use import or using.

Well, is there a way without using import or using (without restarting Julia)? The problem is that you cannot undo such a command. For example, the following leads to an error:

using Pkg
Pkg.activate(; temp = true)
Pkg.add("AxisKeys")
import AxisKeys
Pkg.activate(; temp = true)
Pkg.add("FFTViews")
import FFTViews

It gives

┌ Error: Error during loading of extension AbstractFFTsExt of NamedDims, use `Base.retry_load_extensions()` to retry.
│   exception =
│    1-element ExceptionStack:
│    ArgumentError: Package AbstractFFTsExt [ec604236-bdd8-5045-8fae-50e3b7893c8a] is required but does not seem to be installed:
│     - Run `Pkg.instantiate()` to install all recorded dependencies.
[...]
└ @ Base loading.jl:1301
┌ Error: Error during loading of extension AbstractFFTsExt of AxisKeys, use `Base.retry_load_extensions()` to retry.
│   exception =
│    1-element ExceptionStack:
│    ArgumentError: Package AbstractFFTsExt [7cd4eef3-a486-5c57-b280-f5e9e842d192] is required but does not seem to be installed:
│     - Run `Pkg.instantiate()` to install all recorded dependencies.

Without the first import it works fine.