He's reflecting the entirely reasonable Carrier Enabled Power Projection (CEPP) concept, which isn't actually rocket science, but just states explicitly what large carriers are capable of.
What people tend to forget (possibly because of the old commando carrier conversion heritage) is that CEPP doesn't preclude use as a "strike" carrier either.
Important point being, you can use a big deck carrier in both roles, but not an LPH/LHA type.