Sine you have 'space' in between items, better to use PROPER.

=SUM(IFERROR((LEN(A$1:A$4)-LEN(SUBSTITUTE(PROPER(A$1:A$4),PROPER(A6),"",TRANSPOSE(ROW(INDEX(A:A,1):INDEX(A:A,MAX(LEN(A$1:A$4))))))))/LEN(A6)*B$1:B$4,0))