I haven't any personal experience with the Lyman 36 as I do not own nor have ever used or handled one.

The Lyman 36 was similar to the Lyman 35 (as used on Mauser 98) but with the addition of a 'swing away' aperture arm which allows the MS' bolt handle to pass through on its journey through the split bridge which was, of course, not necessary with the Mauser.

Lyman 35 for Mauser:

The No. 36 could be mounted to the Mannlicher Schoenauer without permanent modification (as with the 35 on Mauser) as it simply mounts over the bolt release lever. They were / are very highly regarded sights of which I have never read or heard a negative review or comment.

A Google search for articles about the Lyman 36, however, turned up none. Perhaps a more in depth search of articles regarding gunsights of the period may prove productive.

I do have (of course) an image from the 1939 Stoeger of the Lyman 36 as advertised for sale:

The full page:

A bad copy of 1936 Lyman catalog page:

Below is pictured the instruction sheet that came with a 1950s era Lyman 36 and below that the NOS (NIB) sight:

A few dandy images of a Lyman 36 installed:

Note the 'swing away' feature - a marvelous bit of kit
The arm cams out of the way when encountered by bolt handle, then returns to zero.