On the subject of "it's called 'lite' for a reason", my wishlist does include library functions for working with RFC3339 timestamps. SQLite already ships with a fairly large suite of JSON tools, which are optional to compile into the library, so there's precedent.
Datetimes are of those things which is incredibly annoying to get right, and really belongs inside the database. RFC3339 timestamps are already well designed, since if you stick to UTC (and if you don't store timezone data separately you deserve those problems), lexical order is temporal order, but queries which would be rendered in English as "return all accounts where last payment is ninety days prior to `now`" isn't really possible with string comparisons.
Also, with the JSON library, you can use a check constraint to fail if a string isn't valid JSON, another affordance I would love to have for datetimes.
Grateful for what we just got, though! Just daydreaming...