eval-require is a common idiom for conditional loading of modules and there is a need for that.

No, you don't need either eval functions to conditionally load a module.

if (condition) {
   require Foo::Bar;
}
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And you don't need eval EXPR* to do exception handling.

eval {
   require Foo::Bar;
};
if ($@) {
   require Foo::Baz;
}
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You only need eval EXPR to load a module whose name is not known at compile-time. The only things I can think of that fits that description are plugins/drivers, things well served by high-level modules.

Do you have an example that requires require $class other than plugins/drivers?

* — Remember, nothing wrong with eval BLOCK (called try in some other languages). Unlike eval EXPR, it doesn't invoke the Perl compiler. That means it doesn't incure a huge speed penalty and it doesn't require careful escaping and validation its argument.