Greaves, 21, has dominated the Women's Series in 2025, notching a record-breaking 86 consecutive wins and 13 titles in a row.
She also impressed at the Grand Slam of Darts despite suffering narrow defeats to Michael van Gerwen and Gary Anderson.
Greaves concluded her tournament with a 5-3 win over Niko Springer to leave Wolverhampton on a high, with talk of a Premier League spot ramping up.
Former world champion Price laughed off the suggestion by branding it "a joke", although Greaves said she is blocking out any external noise.
"I don't really like the hype around all of it," she said. "I don't really want people talking about me in that. It's how I get on with it. I don't need other people to tell me I'm not ready. I know that.
"I know I'm not ready for the big leagues and that. That's just me and my family to get through, no one else. Just play and enjoy."
Greaves would likely need to earn one of four wildcards to make the Premier League, which also features the top four players in the PDC world rankings.
She has already secured a two-year PDC Tour Card in October after an impressive second-place finish on the Development Tour.
Greaves could earn more success when she takes on Dutch world number seven Gian van Veen in the World Youth Championship final next Sunday.