Yes, I understand your concern about not using the 1 second delay on animations. I have the same concern.
I was looking through some earlier posts and found this.
I’m not seeing the preloader being invoked every time on Safari for both your web site and mine. I do see it being invoked every time on Firefox and Chrome. As identified in the post, if the preloader is still not available (even though checked) on Blocs for Safari and the preloader helps Firefox and Chrome eliminate the double animation effect (similar to having the 1 second delay I used on my animations), could that explain what we’re seeing?
If true, not sure what to do about it. 
Thx.
Paul