Yes, with a stage pressure ratio that high (and still able to satisfy surge margin requirements for throttle transients and flow distortion at high AoA or side slip) you'd probably be inclined to drop a stage and reap a weight & rotor inertia reduction. Compressor exit temperature places a limit on OPR for a given level of materials technology (so really there's a durability incentive too), especially in fighter engines where at supersonic speed the air will enter the engine already heated quite a bit above ambient by compression from the intake shock system.
Late model F110s and F100s have HPC pressure ratios beyond 8:1 (for an OPR of ~30), but then their LPC/fan pressure ratios are substantially lower than in the EJ200 and F119. While such a high OPR gave them good fuel consumption in subsonic flight, I'm not sure how long they could tolerate supersonic speeds without eating into TBO given the materials technology of the day (supercruise!).