Widespread adoption of encryption should be praised - but the privacy benefits of tools like this are often misunderstood. The protocol is engineered to maintain the confidentiality and integrity of a priori private data exchanged over the wire - and does very little to keep your actions private when accessing public content.
Even with HTTPS, every passive, unsophisticated attacker should be able to exactly tell which Wikipedia page you happen to be interested in: looking at packet sizes, direction, and timing patterns for encrypted HTTP requests, he can identify the resource with a high degree of confidence. With that particular site, you do not even need to crawl the content on your own: database dumps are provided by the foundation, and take a couple of hours to download over DSL.
Adding some random padding and jitter to the communications will help, but can be only taken so far without introducing a very significant performance penalty. Because of this, large-scale behavioral analysis is still likely to be very effective even if we do some of that.
Naturally, there are situations where HTTPS actually helps with privacy; but fewer than we probably come to expect. Even the contents of encrypted text typed in by the user can be reconstructed in some fascinating cases, as explored in this research paper from Microsoft.