No, since 8th still won't qualify, and never will (by finishing 8th). It would still be 5 CL + 2 EL, since no EL qualifier loses out with the reduction from 3 EL to 2 EL if Leicester qualify for the CL next season.
The only way to get 5 CL + 3 EL is if the extra CL qualifier (e.g. a Leicester) wouldn't otherwise qualify for EL, and the winners of both the League cup and FA cup also wouldn't otherwise qualify for EL/CL.
For example, if we had won the league cup, Boro the FA cup, and Leicester the CL. Then us, Boro and 5th would get into the EL, and Leicester + top 4 into CL.