Don't know anyone with both phones but I do own the Doppios and the IM03. Doppios are neutral and very detailed earphones. And they need a synergistic factor when using sources to bring out their best. Geek Out and my DX90 both sound amazing using the Doppios..Very low impedance out is the key here.. I think the IM02 will have a very similar sound tuning to the Doppios as they share some similarities to my IM03.
The IM03 takes the sound of the Doppios and adds more bass end more fullness more layering more smoothness. Doppios are one of the most revealing sounds I know. It can be heard completely wrong of not using the right tips or simply by not even bother burning them in.. They do require burn in for the bass end to fully realize. I like both of these earphones a lot but value wise it will be the Doppios as they cost less than $130 right now sold on Amazon.
IM03 is a direct upgrade to my Doppios as it is a more complete sounding earphone but sonics wise it is not double the value of the Doppios. I suspect the IM02 will be very similar in that regard.. I think you will be fine with either one. The Doppios or the IM02. Both of them will have a very similar sound tuning.
I do suspect that the IM02 has a bit more forward mid range vs the Doppios,which sound pretty much flat from lower treble to sub bass. But that is just a guess as my IM03 has a slightly forward mid range I read the IM02 does as well.
Interesting impressions Ds. What I've found - in general - too is that BA earphones tend to do better with tips that have a smaller diameter in its bore. The Heaven V might be the one exception (and TF10). But the W4, SE535, SE530, and BA200 all performed best this way to my ears. So the Heaven V come with tips with both wide and narrow bores. This morning I decided to give the magical FX850 a break and take the Doppio to work with me. I decided to the V large narrow bore tips on it and WOW! Perfect fit with excellent sub bass that doesn't obscure the wonderful transparency and clarity of the Doppio. I will hear the Tenore soon, but it's hard to believe it can outperform this Doppio. This may be the best dual BA earphone I've ever heard. It's amazing because I heard no bass for the first week of owning this BA earphone. It truly needed burn-in. Burn-in works. Too bad some of you non-believers won't even try it.