Are you sure it is a Nalgene made lid?
There are people who make 63mm mouthed bottles and lids, that don't quite match. I have a really neat little 20oz bottle that has the right size mouth, but I didn't screw my funky EDC bottle's lid onto it to check. It looked close.
Close. Not quite.

But for Guyots, yeah, real Nalgene lids work. It's SOP for me to make the swap for those because that wonderfully subtle texture on the Guyot caps become miserably untextured when wet or wearing gloves. My one grumble.