It's just a different profile. Lantus and Levemir are the latest in a long line of basal insulins, and upon release both were marketed as a 'one shot every 24 hours' insulin. It is marketing speak, as neither is completely flat. And to further confound the marketing, no-ones needs are flat either 
I haven't tried Levemir, but most of the stuff I've read about it suggest that it is a little more peaky than Lantus and is less likely to last the 24 hours. In fact, some folks have trouble making it last 12-14. For that reason, splitting Levemir is extremely common. Splitting Lantus is relatively common on here but in the general population I would venture that it is far from the norm. All of this suggests a shorter profile than Lantus which MAY help with your DP.
I can see why your endo is suggesting it; some folks would regard NPH as rather 'old hat' (not trying to start an insulin war here!). Whilst it may work for you, the more modern approach may be to try Levemir first before going back in history. I'm not advocating this approach, just second guessing where the advice you've had may have come from 
Gary
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A poem about my Wonderously Wanton Basal (WWB)and it Felicitous Flirtations (and how I tamed its Wicked Ways)
...And through the night it's love is free
It whispers and it flirts with me
And then it takes me, hard and deep
Rolls over, farts and falls asleep
And I would wake up, feeling used
My body broken, bent, abused
But now I match it, hump for hump
I give it plenty with my pump 
Pumping with Apidra in my Animas 2020 since April 2008
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