Yeah, I used to say that too. Users complained a lot about fried eGo units with 1.5 LR stuff. Then, some vendors piped in and said that it isn't as much of a problem anymore (a design change?) and/or what really did the nasty trick was to have an atty/carto short out when if fried... killing the mosfet in the process. Who knows. I gave up on the whole discussion, for the most part. Hell, they're so cheap these days anyway (lots of sales) that if you have backups/spares you should just "vape happy" and do what works for you.... unless the manufacturer says otherwise.
If the 2.0 ohm stuff works, or even 1.7, vs the 1.5 then I'd go with the higher ohms just knowing I wasn't stressing it as much. But that's me.
As to the OP's question... really varies by device. Lots of coil designs and tolerances. An atty coil is often a completely different design than a carto coil. Although ohms are ohms from the battery's perspective, that not to say amps are amps from the coil's perspective. A 2.0 ohm atty coil may very well hold up better than a 2.0 ohm carto coil to the same amps. However, the device you use them on, and the ohm rating, are usually matched such that it is within tolerance for the coil. Design differences in the coil would count in theory. However, ohms plays a big part in determining the amps.
I think it's more of a robustness of design issue for the particular atty/coil than anything else.