Just because the names max_tiny_text and max_long_text take the CODE slot of the typeglob instead of the SCALAR slot doesn't make them any less global.
I've removed Exporter. Take a look at the Selecting What To Export section in that documentation.
And instead you write package name, and sub name to get a value. If you're willing to do that, you can do that with scalars as well, and not need Exporter: 
package Max;
our $tiny_text = 200;
our $long_text = 1000;
package main;
print "From main: $Max::tiny_text\n";
print "From main: $Max::long_text\n";

[download]
You can even interpolate that way.

In reply to Re^2: How not to use "our"? by JavaFan
in thread How not to use "our"? by Anonymous Monk

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.