No, but a format in this context is not affecting the physical structure of the disk (unlike a floppy format). It only lays down the filesystem.
That is supposition, it is just convention - although it is how data was stored in the days when hard drives were addressed via the CHS convention. However, as the disk wears, any speed advantage will eventually disappear because defective sectors will be mapped to others elsewhere on the disk. Disk mfrs do arrange the disk mapping to give as even performance as they can across the whole addressed range.
And a newly installed operating system will always appear faster than one that has been installed for a while. I'm not saying it doesn't work, I'm just sceptical about the reasons why it is said to work.[/QUOTE]
You don't know what the drive is actually doing behind the interface. The drive could be read from inside to outside - it doesn't have to tell the OS that. In all probability it is reading from outside in, but the actual physical pattern of the read is hidden from the user. Defragmenting is primarily a logical operation on the file system, to make the file system contiguous, it will also make the logical sectors on the disk contiguous, but the actual physical sector pattern and the mapping to the logical LBA number is known only to the disk. The point is "as seen by the OS" which may not reflect the physical reality.
I'm not saying that the advice to run chkdisk when 'formatting' a disk is incorrect, but the processes you described are logical processes at file system level, not physical ones at disk level.