FCFF would also increase by the same % rate. Take for example:
Year 0— NI=200, DEP=20, Int(1-t)= 30, WCINV=30, FCINV=40 FCFF= 180 THEN
Everything increases 10%
Year 1— NI=220, DEP=22, Int(1-t)= 33, WCINV=33, FCINV=44 FCFF= 198
198/180=1.10 === 10% in FCFF
Sorry I suck at formatting
So the answer to your original question is YES