F4(more specifically the bg from taiwan formed from the 4 stars of Meteor Garden) were (in my recollection) more of a big thing for Taiwanaese tv drama/celebrity idol than for hallyu wave per se. And its based on Hana Yori dango, a japanese manga in the first place. It made stars of the 4 male leads (who formed F4) n Barbie Hsu (who has now married South Korean rapper DJ Koo) n Rainie Yang(supporting role but the actress eventually eclipsed Hsu in asian stardom). F4 were ubiquitous for most of 2000s, not sure exactly when they diminished-either when they became JVKV(too complicated n im lazy to explain), earlier or after(they were kinda 1D, Beatles of Asia/taiwan in a way).
Btw F4 n Boys Over Flowers were kinda almost 10 yrs apart(2001 for F4 vs 2009 for Boys over flowers). I think F4/Meteor Garden resurged(is tat even a word?) or led to live action adaptations of its source as Japan in 2005, SK in 2009, China in 2018 n thailand in 2021 produced own versions all stemming from F4/meteor garden's success/popularity(japan nvr made a live action adaptation UNTIL AFTER Meteor Garden's METEORIC (srry not srry for the pun/bad dad joke).
F4/JVKV kinda still famous now tho nowhere near level in 2001~2007. Boys over Flowers im not sure uf its impact outside kdrama/hallyu enthusiasts.(im just gonna click post without proofreading,srry for any errors/mistakes).