The web-posted KB5034441 fixes work on Intel 806xx product code and newer 807xx Intel 64-bit processor based systems, but do not work on older Intel 805xx processor (like Xeon E3113, Core 2, Core 2 Quad, Core 2 Extreme, dual core Xeon, Pentium D, Celeron D, etc.) based systems. At present MS has released no fix for these older Intel 64-bit processor based systems.
To date, I have successfully created/resized the WinRE partitions and installed KB5034441 after increasing the WinRE partition size in more than 20 Intel 806xx processor I-5 and I-7 laptops/desktops/workstations after resizing and/or creating the WinRE partition correctly with zero failures. However every Intel 805xx based processor system fails the KB5034441 update/installation. I have tried increasing the WinRE drive in steps to over 10GByte size to no avail, re-installing Windows 10/PRO latest/last update/troubleshooting/etc. and many other work a-rounds, including manually installing the code into the WinRE partition (successful equivalence of the KB5034441 but the KB5034441 update still fails even though it is effectively already installed! Sometimes I just laugh!!!)
For tables of the Intel 805xx, 806xx, and 807xx processors check at the bottom of the wikipedia article: List of Intel processors