At that time, White Painting had not awakened her bloodline, and she had failed twice in her Crossing Tribulation. It was only after I helped her awaken a bit of the Jiao Dragon Bloodline that she finally ascended successfully before the end of her lifespan.
The Spirit Beasts in the Spirit Beast Dojo had all gone through bloodline awakening, so they would surely ascend earlier than White Painting.
However, it's unknown how many Spirit Beasts from the Dan God Secret Realm Dojo in the Lower Realm had ascended. Big Bull, Golden Treasure, Tiger Gate, these were all beings even stronger than the three Guardian Beasts of the Giant Spirit Tree Herb Garden.
If they were to ascend, they would certainly do so before the Guardian Beasts of the Giant Spirit Tree Medicine Garden, who might still need a long time before they could ascend.