Yes, but i keep coming back to the specific beating general and what is specifically called out here.You can trigger Horde Breaker off of Green Flame Blade or Booming Blade and those use the Cast a Spell action. Though you can't, of course, use either of those with a ranged weapon attack like shooting a crossbow.
Horde breaker applies to all weapons.
Loading is a specific property that applies to crossbows and msybe a few others.
Further more the intent of the loading is clear to me
""Because of the time required to load this weapon, you can fire only once piece of ammunition from it when you use an action, bonus action, or reaction to fire it, regardless of the number of attacks you can normally make."
Regardless of the number of attacks you could normally make.
The feat gives you more attacks but cannot overcome the reload time.