The site default for Chinese and FixedPrice is 1 and there is a durationSetID 1 ( <ListingDuration durationSetID= "1"\> ) in GetCategoryFeatures; however, the FeatureDefinitions for durationSetID 1 does not include 1-day listing type.
It's an expected behavior that GetCategoryFeatures does not return 1-day listing duration. The 1-day listing feature will show up in a qualified seller's SYI page for some Categories.
For 1-day listing data to be showed up in a seller's SYI page, the seller should meet the requirement as :
A feedback score of 10. Or A feedback score of 5, and have a PayPal account and accept PayPal as a payment method.
You might ask how can I tell if the 1-day listing type is valid for a given site. Unfortunately, however; there is no way to programmatically check if the 1-day listing is available for a given site/categories. The only thing for sure is the 1-day listing is not supported for Motors or MA categories in the US or Canada.
Note. The 1-day listing is usually used to an items ( Concert tickets for examples) that is time-sensitive. So even though the 1-day listing durations are not returned in GetCategoryFeatures API for a given category, if you know the 1-day listing type is available in an eBay site for the Category - CategoryID 173634 (Tickets>Concert Tickets) in US site for example, you can specify the listing duration as <ListingDuration>Day_1</ListingDuration> in your AddItem request for such Categories.