If the total gear ratio (including crankarm length and loaded wheel diameter as pointed out above) are the same then to a first order everything else is the same in terms of torque, cadence, speed, power and how it feels.
The second order effects are things like extreme chain angles to achieve the same gear ratio (e.g. 51x17 vs 39x13 with a 13 tooth small cog, the mid cluster 17 will generally give a straighter chainline which reduces lateral loading on the chain and can reduce frictional losses, especially if the crosschaining results in front derailleur cage rub) or chain wrap where tighter wrap radius (e.g. 11 tooth cog vs larger mid cluster cog) results in slightly higher frictional losses in the chain. But these losses are typically small for most normal riding situations (don't cross chain to the point where your chain is sawing through the front derailleur cage).
There's no big magic in riding your big ring vs your small ring if the gear ratio is actually the same. But in general we don't chose and in most cases aren't set up for exactly the same gear ratios in both the big and small ring. So if you're comparing a slightly different gear when rolling the big ring then yes, it's possible that gear feels better for the terrain you're on or the speed you're riding. In that sense you might very well prefer to roll the big ring on flatter terrain and similar but slightly different combinations in the small ring might not feel quite right.
I generally like to roll the big ring, it just feels like it flows better but I'm also riding bigger gear combinations than what I'd get through most of my cluster in the small ring so it's not an apples to apples comparison.
-Dave