Rustup: Install toolchain despite missing components

I have an error with the latest nightly which wasn't there with an older version and I'm trying to pinpoint the version that broke it by installing various nightly versions until it breaks. Unfortunately I am unable to install nightly-2020-08-01 because it's missing rustfmt:

$ rustup default nightly-2020-08-01
info: syncing channel updates for 'nightly-2020-08-01-x86_64-pc-windows-gnu'
info: latest update on 2020-08-01, rust version 1.47.0-nightly (6e87bacd3 2020-07-31)
error: component 'rustfmt' for target 'x86_64-pc-windows-gnu' is unavailable for download for channel nightly-2020-08-01
Sometimes not all components are available in any given nightly.

I have run

$ rustup component remove rustfmt
info: removing component 'rustfmt'

But I still get the same error:

$ rustup default nightly-2020-08-01
info: syncing channel updates for 'nightly-2020-08-01-x86_64-pc-windows-gnu'
info: latest update on 2020-08-01, rust version 1.47.0-nightly (6e87bacd3 2020-07-31)
error: component 'rustfmt' for target 'x86_64-pc-windows-gnu' is unavailable for download for channel nightly-2020-08-01
Sometimes not all components are available in any given nightly.

Can I somehow install those nightlies (most of August and September apparently) that are missing rustfmt?

There has been some discussions related to this topic, for example Selecting the latest nightly to have a specific set of features? , maybe some of the solutions could help you.