Your right. The files aren't there.
But the information is still held at LAC. I would call them and ask if the files are still on line. Next option is to go to LAC to see the files or hire a private researcher to photograph the files
Guide to Sources Relating to Units of the Canadian Expeditionary Force
16th Canadian Machine Gun Company
Organized in Organized in Floringhem, Belgium on 27 December 1916 under the command of Captain E. W. Sansom.
Personnel from the 73rd, 75th, 87th and 102nd Canadian Infantry Battalions of the 4th Canadian Division as well as from the 10th, 11th, and 12th Canadian Machine Gun Companies.
The 10th, 11th and 12th Canadian Machine Gun Companies were detached from their respective infantry brigades on 1 September 1917 and, with the 16th Canadian Machine Gun Company, formed the 4th Canadian Divisional Machine Gun Battalion.
Reorganized in March 1918 to form the 4th Battalion, Canadian Machine Gun Corps.
In this section, the text in bold is the main topic and the indented part is the archival reference. Use the archival reference to order the document.
War diary, 27 Dec. 1916 - 31 March 1918
RG 9 III-D-3, vol. 4984, folder 616
RG 24, vol.1989, file HQ 683-1256-1
Operations. Passchendaele, 30-31 Oct. 1917
RG 9 III-B-1, vol. 4687, folder 37, file 17
RG 24, vol.1908, file DHS 5-11-10
RG 9 III-C-1, vol. 3931, folder 17, file 4
Canadian Records Office file
RG 9 III-B-1, vol. 1087, file M-168-4