Working in the Instrument repair business I have only used the Laser as an alignment tool.
Mainly aligning the graticule of an optical system to the laser so that the beam can be projected to a distant point. Actually using the laser as a surface/level device is very crude and not accurate at all. Even in industry it only works to about 2.5mm tol. over 50mtrs. Laser beams are highly diffracted and hard to determine the centers. If the beam hits the graticule it will diffract and special grats. with the no markings in the center are used.
Examples are boresights for setting up gunsights and aligning the weapon to the mount in an aircraft or fixed mounting.
Another example is for Zenith and Nadir optical plumbs for mines and lift shafts.
Also used for the run of drainage beds to allow for the fall of the drainage.
Mention is made of Autocollimation which is accurate and the readings are half the reflected image.
Lots of applications use autocollimation such as a long line of rollors in a mill and alignment of structures in ship building. Specially made Theodolites with stiff axis are used and they can be mounted sideways/rightangles on a bulkhead.
Personally I have used Auto collimation to survey the bed of a ships engine that threw a con-rod, this distorted the crankshaft and that then distorted the bed.
I measured the bed every 300mm and also did it across the bed and was able to determine that the bed was shaped like a banana with a max. error of 237Thou. dip in the middle and that one side was 180Thou. higher then the other.
The Insurance paid out for a new bed and a new crankshaft.
There is a long story about this engine and the ship and when it happened.
The simplest method is a theodoilte with an autocollimation eyepiece fitted and a Titanium mirror fitted to a levelled mount or cube which is absolutely square and can be put in any position.
Examples of this are aligning Head up Displays in aircraft and some aircraft and ships weapon systems.
Back to scraping, part of my training was to scrape Inspectors Clinometers, this entailed scraping the base and then using a ground square, scraping the end face. The material was Bronze and it was easy to overscrape and make it worse. Then I had to stone the cam that rode the underface of the drum and this was all checked on a master Clinometer with a long swinging arm.
Later I was faced with levelling the trunnions of Theodolites, this I did on a face plate and lapped them in until there was no Tilting Axis error. This faceplate had little quarter inch squares and was loaded with diamond paste.
Later I lapped another surface plate to it and trued it up and I still use that plate today.
Optical flats are for determining the quality and flatness of a surface, can be used to see if the anvils on a micrometer are square to each other. They are easily scratched and can soon become useless. I only used them for inspection purposes.
Clive