Different formats are good for different purposes. XML does have some benefits (like described in there), as well as some problems; the same is true of JSON. They do not mention ASN.1, although it also has many benefits. Also, the different formats have different data types, different kind of structures, etc, as well.
XML only has text data (although other kinds can be represented, it isn't very good at doing so), and the structure is named blocks which can have named attributes and plain text inside; and is limited to a single character set (and many uses require this character set to be Unicode).
XML does not require a schema, although it can use one, which is a benefit, and like they say does work better than JSON schema. Some ASN.1 formats (such as DER) can also be used without a schema, although it can also use a schema.
My own nonstandard TER format (for ASN.1 data) does have comments, although the comments are discarded when being converted to DER.
Namespaces are another benefit in XML, that JSON does not have. ASN.1 has OIDs, which have some of this capability, although not as much as XML (although some of my enhancements to ASN.1 improve this a bit). However, there is a problem with using URIs as namespaces which is that the domain name might later be assigned to someone else (ASN.1 uses OIDs which avoids this problem).
My nonstandard ASN1_IDENTIFIED_DATA type allows a ASN.1X data file to declare its own schema, and also has other benefits in some circumstances. (Unlike XML and unlike standard ASN.1, you can declare that it conforms with multiple formats at once, you can declare conformance with something that requires parameters for this declaration, and you can add key/value pairs (identified by OIDs) which are independent of the data according to the format it is declared as.)
(I have other nonstandard types as well, such as a key/value list type (called ASN1_KEY_VALUE_LIST in my implmentation in C).)
XSLT is a benefit with XML as well, although it would also be possible to make a similar thing with other formats (for databases, there is SQL (and Tutorial D); there is not one for ASN.1 as far as I know but I had wanted such a thing, and I have some ideas about it).
The format XML is also messy and complicated (and so is YAML), compared with JSON or DER (although there are many types in DER (and I added several more), the framing is consistent for all of them, and you do not have to use all of the types, and DER is a canonical form which avoids much of the messiness of BER; these things make it simpler than what it might seem to some people).
Any text format (XML, JSON, TER, YAML, etc) will need escaping to properly represent text; binary formats don't, although they have their own advantages and disadvantages as well. As mentioned in the article, there are some binary XML formats as well; it seems to say that EXI requires a schema (which is helpful if you have a schema, although there are sometimes reasons to use the format without a schema; this is also possible with ASN.1, e.g. PER requires a schema but DER does not).
Data of any format is not necessarily fully self-descriptive, because although some parts may be self-described, it cannot describe everything without the documentation. The schema also cannot describe everything (although different schema formats might have different capabilities, they never describe everything).
> When we discarded XML, we lost: ...
As I had mentioned, other formats are capable of this too
> What we gained: Native parsing in JavaScript
If they mean JSON, then, JSON was made from the syntax of JavaScript, although before JSON.parse was added into standard JavaScript they might have used eval and caused many kind of problems with that. Also, if you are using JavaScript then the data model is what JavaScript does, although that is a bit messy. Although JavaScript now has a integer type, it did not have at the time that JSON was made up, so JSON cannot use the integer type.
> I am tired of lobotomized formats like JSON being treated as the default, as the modern choice, as the obviously correct solution. They are none of these things.
I agree and I do not like JSON either, but usually XML is not good either. I would use ASN.1 (although some things do not need structured data at all, in which case ASN.1 is not necessary either).
(Also, XML, JSON, and ASN.1 are all often badly used; even if a format is better does not mean that the schema for the specific application will be good; it can also be badly designed, and in my experience it often is.)