first off, one of the largest non-class action settlements was the well known Texaco case, and with a verdict into the hundreds of millions of dollars, I could almost gaurantee that this wont come close. I've never seen a trademark infringement case produce a verdict anywhere near that dollar amount.
Beyond that, If you read the Lanham act, specifically section 32 (15 U.S.C. 1114 (1)):
(1) Any person who shall, without the consent of the registrant
(a) use in commerce any reproduction, counterfeit, copy, or colorable imitation of a registered mark in connection with the sale, offering for sale, distribution, or advertising of any goods or services on or in connection with which such use is likely to cause confusion, or to cause mistake, or to deceive; or
(b) reproduce, counterfeit, copy or colorably imitate a registered mark and apply such reproduction, counterfeit, copy or colorable imitation to labels, signs, prints, packages, wrappers, receptacles or advertisements intended to be used in commerce upon or in connection with the sale, offering for sale, distribution, or advertising of goods or services on or in connection with which such use is likely to cause confusion, or to cause mistake, or to deceive,
shall be liable in a civil action by the registrant for the remedies hereinafter provided.
given that the likelihood of confusion between apple computers and a music catalogue is very unlikely, there isnt much chance of a big settlement, because there wouldnt be a big court verdict. We also have to consider that Apple Corps. trademark may be limited in its use in commerce to a good or service that was specified in the registration. This isnt much protection, but it is considered and i dont see that the marks really act on the same or similar goods or services (except potentially the apple music store, but i dont think Apple Corp. would by any stretch be seen to be in the business of selling online digital music files).