Stop and THINK about it for a minute.
UAz gets more than FORTY THOUSAND applications every year.
Do you really think that they have the time to pick out who rushed their scores?
What colleges don’t like is late applications. Most don’t care if your app & scores are in a minute/day/week/month before the deadline. They have more important things to worry about.
Your link is several years old- now that all score reports go in the same way (digitally) it’s really not a deal. The handful of colleges (like UMi) who don’t accept them say so on their websites.