Double direct impulse=something pushing on balance in both directions at near 90deg, Omega coaxial (and Daniels), Voutilainen 28, FPJ CO, UN Freak, and a few more all qualify.
The co-axials are a trade-off and only have one direct impulse--the other is indirect. A little study will confirm this. It is confusing because the co-axial is marketed for its direct impluse. The new Seiko escapement is similar. The natural escapements,...
Got the definitions wrong, you're correct. That said the Omega is indirect but the indirect impulse is imparted with not much lower mechanical efficiency so I think of it as "the same".