I tested Hasleo Bootable USB on Win 11 with Secure Boot ON. It worked well, and there were no issues with mouse functions. Have you resolved the issue?
I have not used it since then so i do not know.
On my other pc i had to add a IRST driver but even though that was done, HBS boot menu in restore mode did not even see any disk besides the recovery usb so there where no image to find. And the non functioning mouse was a problem on that one too.
If it was important, i would talk to them about it. Especially since they are very responsive.