Most changes to install.wim don't need to be re-applied for boot.wim or WinRE.
There are two exceptions:
1. Integrating the same drivers to both boot.wim & install.wim, because WinPE is missing drivers for your NVME, SATA, USB controller or WiFi devices. Most of the time you can re-use the same drivers, but there might be WinPE-specific versions ("F6 drivers") which are a better fit.
2. Enabling the BypassTPM and other HW requirement tweaks from Settings at the same time to boot.wim (WinPE Setup). This is done to save yourself the extra step of separately mounting boot.wim and applying BypassTPM settings.
WinRE generally doesn't need to have updates or drivers added. When Windows installs WinRE to the recovery partition, it will pull the same set of drivers from the live system. WinRE could be updated, but it's not really needed since you only boot into Recovery on occasion.
The monthly update may end up installing a newer WinRE on your live system, so it doesn't really matter to patch the image's copy.