"Please give Liam the little dignity he has left in the wake of his death," the singer wrote.
"Nothing about the past few days have felt real," added the influencer in her tribute to the star.
The singer who died at 31 on Wednesday after a fall from his Buenos Aires hotel room also told his younger self that he'd one day meet the "most amazing person," his son Bear.
Democrats are also rolling out Eras-themed billboards in battleground states.
Fellow British boy band veteran Robbie Williams said Payne's "trial and tribulations" were similar to his struggles in Take That, echoing Osbourne's thoughts on the downsides of fame.
"I wanted to just honor anyone who has been touched by [1D's] music," she said on Thursday, 24 hours after Payne, 31, died in a fall in Argentina.
The singer joined his former 1D bandmates in paying personal tribute to Payne, saying they got to to "live out our wildest dreams together."
"His greatest joy was making other people happy, and it was an honour to be alongside him as he did it," Styles wrote on Instagram.
"Can’t explain to you what I’d give to just give you a hug one last time and say goodbye to you properly and tell you that I loved and respected you dearly," Zayn wrote.
"Payno, my boy, one of my best friends, my brother, I love you mate. Sleep well," Tomlinson wrote in his heartbreaking social media post.
