And no need to even rebuild it.

Should this also be done for MIT license when there is no change going
to SPDX?

Yes.

But especially with the MIT I strongly suggest to check the actuall license text. I find the

https://github.com/spdx/spdx-license-diff#installation

as great tool for this.

According my personal experience about 50-80 % of Callaway MIT string are translated to SPDX MIT string.

But rest of the cases the MIT is something different in SPDX. The known option so far are:

'mpich2', 'libtiff', 'SMLNJ', 'SGI-B-2.0', 'NTP', 'MIT', 'MIT-open-group', 'MIT-feh', 'MIT-e
nna', 'MIT-Modern-Variant', 'MIT-CMU', 'ICU', 'HPND', 'BSL-1.0', 'Adobe-Glyph'

Miroslav