"We share the general view that our society will be transformed by [technology companies'] products and services," Buffett wrote in his 1999 letter to Berkshire shareholders. "Our problem — which we can't solve by studying up — is that we have no insights into which participants in the tech field possess a truly durable competitive advantage."
It must be noted that the Apple purchase appears to have come not from Buffett directly, but instead from Berkshire portfolio managers Todd Combs and Ted Weschler, who make many of the firm's smaller moves of $1 billion or less. But the Validea Market Legends ETF (VALX), which uses a Buffett model, among other guru screens, to score stocks, has held Apple over time because it scores highly in our Buffett model (Apple is a current VALX holding).
A closer and more up-to-date look at the tech sector and big tech stocks shows that Berkshire Hathaway's Apple buy is indeed rather Buffett-like. Part of the proof, I believe, involves how the tech sector in general has changed; the other involves the specifics of Apple's business.