Summary: Hitchcock Pinnacle is not shown on 
apps.nationalmap.gov/3depdem/ LiDAR.
It is seen if you have access to the actual LiDAR
point data.

Details: Hitchcock Pinnacle is a small rock pinnacle
situated just SE of the Windy Point parking
lot on the Mount Lemmon highway. It is perhaps
less than 100 square feet in area, and roughly
30 or 40 feet high.

It is completely missed by the one meter
LiDAR contours shown on apps.nationalmap.gov/3depdem

Supporting info:
Drone video:
https://www.youtube.com/watch?v=siHx99DEz-g

Location:
https://listsofjohn.com/mapf?lat=32.3678&lon=-110.7158&z=19&t=s&d=y
Hitchcock PinnacleLOJ.jpg

Steetview: https://goo.gl/maps/rxh6cEnbi8HckAit7 

apps.nationalmap.gov/3depdem/ contours:
Hitchcock Pinnacle Windy Point Tucson.jpg

(Doug Melton)
Here are my two maps using classified and unclassified data.
The classified map does not show the presence of the pinnacle,
yet the unclassified data shows that it does exist. The data
on the website has been massaged, sometimes too heavily.

Andy I think the relative relief you described is present and
the general configuration is there.

(John Kirk)
Bare earth model rendering of LiDAR is likely stripping out everything
but ground points (classification '2').  I think the online viewer
is good for general takeaways, but to get precise elevations and
factor in rock features I'd definitely want to look at the LiDAR
tiles with software and have control over which point classes are
in/out of analysis since boulders, pillars, talus are usually
a '1' classification (undefined).