Several reports in forums that the trackpad in Thinkpad's "disable tapping" would not stick, it reset to enable after reboot.
If you do a process monitor or SynTPEnh.exe, it looks like that the program fails to save any change to the registry.
The value of DWORD
changes to if you make these changes
0x11 - default
0x21 - enable slow motion pointer
0x41 - scrolling and tap zones only
but not on enable/disable tapping.
Definitely looks like something Lenovo and/or Synaptics has to modify in the driver to fix, no much can be done on the user end to change that.