Personalized experiences shouldn't just go half-way or be confined to one-page. Let's take your favorite coffee shop as an example. When you walk-in and they greet you by name then immediately ask about having your favorite coffee that's a remarkable and personalized experience. But what if after that initial encounter, they never greet you by name again, or suddenly forget what your favorite order is?
That experience may leave you disappointed. After all it's your favorite place, how could they forget?
Personalizing a single page of your website is very similar to the coffee shop above. After encountering one page that caught your attention, landing on the next page that is not relevant may be confusing or result in leaving the site altogether.