In APA, how should stylized business names be capitalized? Numerous companies stylize their names or the names of products: adidas, eBay, iPhone...how should these be written (in APA style)?

The pair of adidas shoes lasted longer than the pair from Nike.


vs.

The pair of Adidas shoes lasted longer than the pair from Nike.


The Wikipedia Manual of Style is pretty explicit on the topic, but the APA is less clear.  4.16 says to capitalize proper nouns and trade names, but doesn't explicitly refer to stylized trademarks.  My instinct says to capitalize them as unstylized proper nouns, but other manuals of style actually address the topic, even if it's a bit confusing on first read.  For example, the Chicago Manual of Style (search for "business entities" in the page for the specific rules) says to follow camel case capitalization, but for all-caps or no-caps, to title case them (adidas becomes Adidas, LEXIS-NEXIS becomes Lexis-Nexis, DirecTV stays as such).
I just asked @APA_Style via twitter, which is managed by the APA.

Their answer is no, you should not capitalize those stylized company names that start with a small letter. Additionally you might want to avoid starting a sentence with those names as to avoid confusion by the reader.

In general they seem to suggest to leave the names as they are.

You can find the conversation for references here: https://twitter.com/APA_Style/status/621340750505242626