A generic date type doesn’t come with any specific string format. ISO 8601 and RFC 3339 are both ways of representing a date as a string. Which has little to do with Date as a type.
There’s also perfectly good solutions to those problems. Use a type alias to create a date type backed by a string, with formatting constraints (such as a regex). Then people can define dates using any string representation they want!
Incidentally this is exactly what Pkl lets you do. You can use Pkl schema to define in detail how you want to validate your data using various primitives like regex. And then separately create a config template that uses those custom data types. As a dev you can choose how tightly bound your config template is to a data validation schema, define all the validation in line, or import an external module to provide you with richly validated data types.
Tell that to the TOML authors [1].
It's good Pkl has string validation, but what if I don't want a string? What if I want my own literal datetime syntax, like TOML? The grammar for a configuration language could be made flexible enough to accept most anything as a value. In such a design the "string" type itself could be a regex rule defined by a schema.
Keep in mind datetime literals are just an example, the actual number of potential types is unbound.
The near-compatibility of ISO 8601 and RFC 3339 is a rich source of bugs, but that's hardly TOML's fault, and the standard is perfectly clear that the latter is used. TOML, like many configuration and data transport languages, is defined in terms of its syntax, so an abstract Date type doesn't make sense for it.
Providing a datetime format for TOML was probably the right decision, I think there are more people who complain about JSON lacking one than there are who complain about TOML having one.
The disadvantage of typed configuration languages is they make assumptions about the format of the data. For you a "date" type might mean ISO 8601, but for me it might mean RFC 3339. Config languages that make assumptions are coupling the language and schema validation together. The alternative is to decouple them: offer a flexible configuration language with a separate schema language. The latter would let you define the schema specifically for your data for validation.