Yep. Put differently: the larger displacement NA engine (or better yet, a diesel) is more likely to be designed to produce its max rated power continuously with decent efficiency. The smaller displacement boosted engine cannot; run it at max power continuously and it is likely to have issues with heat, reliability, etc.You are forgetting stuff like the 6.0, 6.4, 6.2, 6.6, 7.3. Duty cycle. ...
One extreme example of this is motorcycles. Years ago I had a GSXR750 that made 110 HP RWHP on the dyno. But if you rode it hard in 2nd gear, after several minutes it would get heat soaked, lose power noticeably and run like crap. At that point you had to shift up to a taller gear and ride it easy for a while to get it cooled back down. My 2014 Mazda3 is the same, if you drive it hard in 2nd gear, after a while it will heat soak and lose power.
An opposite example is aircraft piston engines. The Lycoming O-360 is very common, 360 cubic inches rated at only 180 HP. Usually redlines at only 2700 RPM (which is more of a propellor limitation than an engine limitation). But it produces that rated power continuously, all day long with good efficiency.