We save the *data as stored* in the database. That is the purpose of a backup. No backup tool has that option. Do you find it in ‘mysqldump, for instance?
You can
1) Export a structure-only sql-dump
2) export data to CSV. Here you you can select what columns to be included.
Also be aware that
1) if the autoincrement column is the Primary Key of the table (what it often is) then removing it may result in duplicate columns
2) in relational databases the autoincrement will often be used for a Foreign Key (“relationship”). If it does not get created with exactly same value as it originally was, you will break the Foreign keys.
There is no chance that we will include such option in ‘export as sql-dump’. It makes absolutely no sense to me.