The bill as passed by the House also allows $2,000 for all dependents, not just qualifying children.

Section 3.  Dependents taken into account in determining credit and rebates

(a) Recovery rebates

(1) In general

Section 6428(a)(2) of the Internal Revenue Code of 1986 is amended by striking qualifying children (within the meaning of section 24(c)) and inserting dependents (as defined in section 152).

https://www.govtrack.us/congress/bills/116/hr9051/text/dhg-405468