Bitcoin is more profitable than Dogecoin since it already built a big foundation to companies in terms of large-scale transfers and purchases, this is based on an article I've read by Mic Network Inc. As for the most preferred by many, I think the dogecoin wins over bitcoin based on statistical usage since dogecoin is said to be used most commonly in activities where transferring of small amounts is involved around the world meaning it is used a lot of times. The logic is that people don't transact a bigger amount everyday thus dogecoin is much more preferred than bitcoin.