What the heck, it was like I was being cursed or something. Started from reset 0/11 all the way to 11/11. TODAY.
80% of the time I got the red-coloured item within my first 10 gacha draws for each reset.
Resets 0-5: Yes
Reset 6: No
Resets 7-9: Yes
Reset 10: No
Reset 11: Yes
Even so, I did all 50 pulls for resets 7, 10 and 11 (lots of good stuff for reset 7). From resets 8-10, when I saw the pot turned silver, I thought I didn't get the red-coloured item so was going to roll again, until I saw the 'Resetable' option. Then I realized that those special equipment aren't gold, just silver LOL. I only managed to collect about 60k Sunshine Drops (half the amount needed to fully clear?) so it was all used up nicely.