While I don't know the exact technical reasons why, in MongoDB, I can make some assumptions about this, based on what I know about indexing from other systems and based on the documentation that you quoted.
The General Idea Of An Index
When moving from one document to the next, in the full document collection, there is a lot of wasted time and effort skipping past all the data that doesn't need to be dealt with. If you're looking for document with id "1234", having to move through 100K+ of each document makes it slow
Rather than having to search through all of the content of each document in the collection (physically moving the disk read heads, etc), an index makes this fast. It's basically a key/value pair that gives you the id and the location of that document. MongoDB can quickly scan through all of the id's in the index, find the locations of the documents that it needs, and go load them directly.
Allocating File Size For An Index
Indexes take up disk space because they are basically a key/value pair stored in a much smaller location. If you have a very large collection (large number of items in the collection) then your index grows in size.
Most operating systems allocate chunks of disk space in certain block sizes. Most database also allocate disk space in large chunks, as needed.
Instead of growing 100K of file size when 100K of documents are added, MongoDB will probably grow 1MB or maybe 10MB or something - I don't know what the actual growth size is. In SQL Server, you can tell it how fast to grow, and MongoDB probably has something like that.
Growing in chunks give the ability to 'grow' the documents in to the space faster because the database doesn't need to constantly expand. If the database now has 10MB of space already allocated, it can just use that space up. It doesn't have to keep expanding the file for each document. It just has to write the data to the file.
This is probably true of collections and indexes for collections - anything that is stored on disk.
File Size And Index Re-Building
When a large collection has a lot of documents added and removed, the index becomes fragmented. index keys may not be in order because there was room in the middle of the index file and not at the end, when the index needed to be built. Index keys may have a lot of space in between them, as well.
If there are 10,000 items in the index, and # 10,001 needs to be inserted, it may be inserted in the middle of the index file. Now the index needs to re-build itself to put everything back in order. This involves moving a lot of data around, to make room at the end of the file and put item # 10,001 at the end.
If the index is constantly being thrashed - lots of stuff removed and added - it's probably faster to just grow the index file size and always put stuff at the end. this is fast to create the index, but leaves empty holes in the file where old things were deleted.
If the index file has empty space where deleted things used to be, this is wasted effort when reading the index. The index file has more movement than needed, to get to the next item in the index. So, the index repairs itself... which can be time consuming for very large collections or very large changes to a collection.
Rebuild For A Large Index File
It can take a lot of disk access and I/O operations to correctly compact the index file back down to a reasonable size, with everything in order. Move out of place items to temp location, free up space in right spot, move them back. Oh by the way, to free up space, you had to move other items to temp location. It's recursive and heavy-handed.
Therefore, if you have a very large number of items in a collection and that collection has items added and removed on a regular basis, the index may need to be rebuilt from scratch. Doing this would wipe the current index file and rebuild from the ground up - which is probably going to be faster than trying to do thousands of moves inside of the existing file. Rather than moving things around, it just writes them sequentially, from scratch.
Large Change In Collection Size
Giving everything I'm assuming above, a large change in the collection size would cause this kind of thrashing. If you have 10,000 documents in the collection and you delete 8,000 of them... well, now you have empty space in your index file where the 8,000 items used to be. MongoDB needs to move the remaining 2,000 items around in the physical file, to rebuild it in a compact form.
Instead of waiting around for 8,000 empty spaces to be cleaned up, it might be faster to rebuild from the ground up with the remaining 2,000 items.
Conclusion? Maybe?
So, the documentation that you quoted is probably going to deal with "big data" needs or high thrashing collections and indexes.
Also keep in mind that I'm making an educated guess based on what I know about indexing, disk allocation, file fragmentation, etc.
My guess is that "most users" in the documentation, means 99.9% or more of mongodb collections don't need to worry about this.
MongoDB specific case
According to MongoDB documentation:
The remove() method does not remove the indexes
So if you delete documents from a collection you are wasting disk space unless you rebuild the index for that collection.