No, this is solid advice for a number of reasons. The first is that if EVE is running a promotional offer, it's often not easy or possible to find via the main website. If you have doubts about an offer sent via email, you should of course first enter the address manually and check if that offer is available via the account management page. Power of Two offers and such should be available here. However, I'm not sure that five day free reactivations are.

Secondly, depending on what mail reader or browser you use, javascript might be able to be inserted into a HTML email. That can fake the link on mouseover so that it looks legit before you click it and that's enough to convince a lot of people to click. The only advice which covers all circumstances is to always check the address bar once you get to the site and before entering any account details. Some fake sites even redirect you to the real login page after you enter your username and password so it's important to check before entering anything and not after.