New Macbook Professional is case-insensitive however Time Machine backup is case-sensitive

There are associated questions right here, however many are dated and none appears to fairly cowl my state of affairs.

I’ve an early 2015 MacBook Professional that has been saved as updated as attainable, at the moment operating 12.6.7. The file system is case delicate. I’ve at all times used Time Machine to again it up; apparently TM at all times makes use of case delicate file system.

The 2015 machine is dying on account of an increasing battery. So, I’ve a brand new MacBook Professional. I fired it up, plugged within the TM drive and it complained that the brand new machine was case insensitive however the backup was case delicate. Fantastic. Launched the brand new machine into restoration mode, erased the drive and reformatted as case delicate. Then put in Ventura, which apparently transformed the drive to case insensitive, as making an attempt to make use of the TM backup gave the identical error.

The outdated machine exhibits the next:

~> diskutil checklist
/dev/disk0 (inner, bodily):
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:      GUID_partition_scheme                        *500.3 GB   disk0
   1:                        EFI ⁨EFI⁩                     209.7 MB   disk0s1
   2:                 Apple_APFS ⁨Container disk1⁩         500.1 GB   disk0s2

/dev/disk1 (synthesized):
   #:                       TYPE NAME                    SIZE       IDENTIFIER
   0:      APFS Container Scheme -                      +500.1 GB   disk1
                                 Bodily Retailer disk0s2
   1:                APFS Quantity ⁨Untitled - Knowledge⁩         411.8 GB   disk1s1
   2:                APFS Quantity ⁨Preboot⁩                 612.1 MB   disk1s2
   3:                APFS Quantity ⁨Restoration⁩                1.1 GB     disk1s3
   4:                APFS Quantity ⁨VM⁩                      1.1 GB     disk1s4
   5:                APFS Quantity ⁨BryanHD⁩                 15.4 GB    disk1s5
   6:              APFS Snapshot ⁨com.apple.os.update-...⁩ 15.4 GB    disk1s5s1

and the small print for the related information quantity:

~> diskutil data disk1s1
   Gadget Identifier:         disk1s1
   Gadget Node:               /dev/disk1s1
   Entire:                     No
   A part of Entire:             disk1

   Quantity Title:               Untitled - Knowledge
   Mounted:                   Sure
   Mount Level:               /System/Volumes/Knowledge

   Partition Kind:            41504653-0000-11AA-AA11-00306543ECAC
   File System Character:   Case-sensitive APFS
   Kind (Bundle):             apfs
   Title (Person Seen):       APFS (Case-sensitive)
   House owners:                    Enabled

   OS Can Be Put in:       Sure
   Booter Disk:               disk1s2
   Restoration Disk:             disk1s3
   Media Kind:                Generic
   Protocol:                  PCI
   SMART Standing:              Verified
   Quantity UUID:               48C0C04E-5D1C-3FA9-9339-93B1BD12E05A
   Disk / Partition UUID:     48C0C04E-5D1C-3FA9-9339-93B1BD12E05A

   Disk Measurement:                 500.1 GB (500068036608 Bytes) (precisely 976695384 512-Byte-Models)
   Gadget Block Measurement:         4096 Bytes

   Container Whole Area:     500.1 GB (500068036608 Bytes) (precisely 976695384 512-Byte-Models)
   Container Free Area:      70.3 GB (70319427584 Bytes) (precisely 137342632 512-Byte-Models)
   Allocation Block Measurement:     4096 Bytes

   Media OS Use Solely:         No
   Media Learn-Solely:           No
   Quantity Learn-Solely:          No

   Gadget Location:           Inside
   Detachable Media:           Fastened

   Strong State:               Sure
   {Hardware} AES Assist:      No

   This disk is an APFS Quantity.  APFS Info:
   APFS Container:            disk1
   APFS Bodily Retailer:       disk0s2
   Fusion Drive:              No
   APFS Quantity Group:         48C0C04E-5D1C-3FA9-9339-93B1BD12E05A
   Encrypted:                 No
   FileVault:                 No
   Sealed:                    No
   Locked:                    No

   APFS Snapshots are outlined upon this APFS Quantity.  Snapshot checklist:
   Snapshot UUID:             7EB6E3E4-2450-4FD9-8D86-B698FC2AAADB
   Title:                      com.apple.TimeMachine.2023-07-03-151546.native
   XID:                       1595566
   Snapshot UUID:             AD44753D-4F92-4295-99AC-F641395D46DB
   Title:                      com.apple.TimeMachine.2023-07-03-152211.native
[ other snapshots deleted for space ]

This data appears cheap, it is the trendy APFS system and case delicate as I anticipated.

Now, on the brand new machine, boot into restoration mode, erase and format to AFPS (Case-sensitive), restart, activate mac, reboots again into restoration mode, reinstall macOS Ventura, reply the questions, skipping something I can, then

diskutil data disk3s1

and see that its identify is “Untitled – Knowledge” and it’s formatted case insensitive!

I attempted to reformat by way of

diskutil eraseVolume APFSX "Untitled - Knowledge" disk3s1

however this fails as a result of launchd is operating on this quantity.

In search of assist getting this TM backup onto the brand new machine in a case delicate method.