Something's not quite right. I have two early ribbed re-coned 50's Jensen P12Q (Q=40W vs R=25W). And the funny thing is that one actually looks exactly like that original one with the beat-up green bell housing. The problem I see is that they shouldn't sound that different. Mine both sound exactly the same. I would say either the re-cone was not done perfectly or the original one is just more "broken in" (makes me think abbey road d enfer is spot-on).
As an exercise, I once used a dummy load to run dry through an old inductor graphic EQ and adjusted to match Jensen's published curves for the P12Q just to see how close it was. It was very convincing. But just crushing everything above 5K and making the 15dB dip-then-boost to 2K with a broad dip at 400 was pretty close too.
I love those speakers. I mix them with the monitors when listening to music or even watching TV. They add a pop for sure. Most speakers are pretty flat by comparison. For recording voice and other mid-frequency instruments, the radical high frequency crush of an old Alnico speaker is hard to beat. Band-passing in general is underestimated IMHO. I love high/low cut filters like the Pultec HLF3C. I high/low cut just about everything to some degree. Almost as effective.