The facts seem to support Orions as Feds on steroids. At least if you compare equivalent ships and use equivalent weapon mounts.
Orion BC (4 PHOT plus 2 PH1 in option mounts) vs Fed NCA 150 pts each
1) Orion has 2 extra PH-3 and fed has 2 drone racks with 2 drones each. Slight edge to Fed.
2) Orion has 36+4 power vs Fed's 38+4. Huge edge to Orion after factoring ability to double engines.
3) Orion has stealth coating. Huge edge, although it doesn't combine with engine doubling.
4) Both have roughly equal internal boxes. Tie
5) Orion has 2 better 1 shield and 6 better 2 and 6 shields. Moderate edge to Orion.
6) Orion has maneuverablity B vs D. Moderate to big edge to Orion.
7) Same frame but Orion has 8 more marines. Very slight edge Orion.
Conclusion. The Orion BC is simply a better ship than the Fed NCA.
The Fed NCL doesn't have an equivalent BPV, so let's compare
Orion DBR(3 PHOT, PH-1, Drone) vs Fed DW. 100 pts to 98. (Orion BR vs Fed CL at 115 is simply monstrously unfair).
1) Orion has 4 drones in its rack vs 2 in Fed rack while the Fed has 4 ADD in its rack. Orion has 2 extra PH-3. Slight edge to Orion.
2) Orion has 19+4 power vs 23+2 power. Probably no worse than a tie after factoring engine doubling.
3) Orion has stealth coating. Big edge to Orion.
4) Fed DW has 1 extra box on 2-6 shields. Very slight edge to Fed.
5) Orion has about 6 more internal boxes than Fed. Moderate edge to Orion.
6) Orion has maneuverability A vs C. Moderate to big edge to Orion.
7) Orion has 1 extra frame and 4 extra marines. Slight edge to Orion.
8 Orion has 4 repair points vs 2 for Fed. Moderate edge to Orion.
Orion seems to have the better ship, but the edge doesn't seem as much as the BC vs NCA matchup because of significantly worse relative power.
Orion LR (2 PHOT, PH-G) vs Fed FF. 77 pts for Orion vs 78 for Fed.
1) Orion has 3 360 PH-1 and PH-G vs 3 PH-1, 2 PH-3, and weak drone rack. It's hard to compare, but I think the weapons are roughly equal.
2) Orion has 12+3 power and Fed has 16+2. I think it's about a wash if you factor in engine doubling.
3) Orion has stealth coating. Big edge to Orion.
4) Fed has about 10 more internal boxes than Orion. Big edge to Fed.
5) Orion has 2 more boxes on every shield. Slight edge to Orion.
6) Orion has maneuverability AA vs B. Moderate to big edge to Orion.
7) Orion has 4 repair points vs 2. Moderate edge to Orion.
This matchup is pretty close. I'll call it a wash.