Is that really a big deal?
It's indicative of a weak understanding of lexical scope. It's a symptom of a problem, not a problem in and of itself. Putting a huge block of my declarations at the top of the file is not a whole lot better than using package variables for everything. About the only benefit you get from strict is checking for typos.
I prefer to scope variables as tightly as possible. That means, at the latest possible time and smallest possible block for the code to still work. Then, not only do I get protection against typos in variable names, I also get protection against inadvertant action-at-a-distance.