Is it necessary to update the Last-Modified time if minor changes are made to the html code?

Question

HTML

Hello!
The site has many thousands of pages already indexed by search engines, for each page the database stores its own Last-Modified time, which is given through the header. Now, for all these thousands of pages, rel="canonical" was signed, do they need to update their modification time now, or will search engines see the changes this way?

Answer 1

So they will see, Last-Modified is worth updating when global edits or significant edits to the content are made