Bad Company 3 is rumored to be 2020's Battlefield title actually.
The problem is:
A) I have zero trust in them after the shitshow of balancing, bugs and content dearth in BFV.
B) DICE themselves years ago
said they had no idea what people liked about Bad Company.
C) A significant part of the team "DNA" that built those games like David Goldfarb (designer on BFBC, BFBC2, BF2) or Gustav Tilleby (art director on BF2, BFBC2, BF3, BF4, BF1, Battlefront 2 that left for Söderlund's new studio) are gone from DICE altogether, or in other cases often moved onto different roles within the company.
I'd love for BFBC3 to be good, but I have no idea what it'll turn out like under the current iteration of DICE.