The LSR nut has its pros and cons. It seems to help with keeping the instrument in tune with excessive tremolo use. However, it is limited when it comes to getting the correct string height at the nut/1st fret.
After a fret level, the string height at the 1st fret is higher and needs to be addressed. With traditional nuts, the nut slots can be filed down to the proper depth. Not so with an LSR nut.
On this guitar, we found metal shims under the LSR. After removing the shims, our string action was still too high at the 1st fret. The final height was achieved by filing the nuts route in the neck to be a smidge too low and then placing the shims back in to build up to the height.