I guess you're referring to this earlier thread.
Can I now copy/paste the entire contents of that stick to another stick and expect it to work?
Still no, for the exact same reason: you won't be copy/pasting the entire contents, you will be copy/pasting only the part that's shown as "files and folders". But just like the .iso image had invisible data beyond that, the final USB stick also has data beyond that – such as the MBR bootcode, the partition layout, the particular choice of filesystems used – which a simple copy/paste will not pick up.
For example, PC BIOS systems require the disk's 0th sector to contain "boot code" – the first-stage bootloader. This is not stored as a file (because BIOS does not understand files), therefore it won't be copied if you only copy files.
UEFI systems do store the bootloader as a file, but they generally want it to be on a FAT16/FAT32 filesystem. If you copy & paste the files into an NTFS device, most UEFI systems won't be able to access them.
Because an iso is a sector-by-sector container copy of a physical storage medium like a DVD or CD. As such, the container is operating-system agnostic. And maybe also file system agnostic (so It's doesn't matter if the files system is, for example, NTFS or APFS)?
I think one clarification is necessary: The file system is not a special parameter that the "formatting" or "burning" process has to modify in a special way. In reality, filesystem structures are stored on the disk in exactly the same way as regular data. The same goes for the partition table; it's just some data on a sector.
Therefore a sector-by-sector copy of a whole disk will automatically include the entire filesystem – it'll include the fact that it's e.g. a FAT32 filesystem; it'll include every single bit of the filesystem's internal structure/metadata/attributes; it'll reproduce even the partition layout.
So it isn't merely that an .iso disk image is "filesystem-agnostic"; rather, it brings its own filesystem as part of the image. (Indeed this is where the "iso" name comes from: originally .iso files meant images of a CD containing the ISO 9660 filesystem.)