That Kingston DataTraveller I have as well and it’s my ol’ reliable from at least 9 years ago. For some reason PCs put up a fuss with recognizing other people’s USBs at boot, I’ve never once had an issue with the Kingston.
It is true that it is slower but for a live distro, install and troubleshoot disk it does the job perfectly fine.
You probably know most of it so just some advice: Don’t format the Partition table (MBR to GPT etc.) on the disk whose data you wish to keep.
Shrinking a partition or moving it carries a small risk of data loss and will take significantly longer than creating a new partition (since data needs to be cut and pasted from one area of the disk to another). If your old laptop has an empty slot for another SSD or NVME drive you can plug that in, and still dualboot and having the new drive Linux only.
Also to deal with the occasional Windows cockups, just carry a boot-repair USB, the auto repair has fixed the Windows issue for me 90% of the time (the other times are usually boot order priority or other BIOS setting)