i am using it to record loud rock shows mostly
^
I'd suggest 4061 based on this. I use both 4060 and 4061, but not the new CORE versions. The acoustic noise-floor of that type of venue will nearly always be significantly higher than the self-noise of either of these microphones, and thus will dominate the noise-floor of the recording. You won't notice mic self-noise unless recording in an extremely quiet environment. Even then, when raising the gain enough to make the noisefloor of the recording audible, it can be hard to differentiate if what you are hearing is the mic's self-noise or the acoustic noise-floor of the environment, typically dominated by HVAC. Also, I find overload distortion more objectionable than very low-level level hiss, so prefer to err towards having sufficient headroom.
I use 4060 for classical with drop dead quiet audiences in purpose built quiet halls using special HVAC systems. The venue noise floor exceeds the self-noise of my 4060's. I've never used 4061's in that situation, so I can't say, but others recording classical music have stated that 4061's self-noise was audible in such situations (might have been in even quieter studio situations, rather than a performance hall)
The other issue is sensitivity. 4060 is more sensitive and produces a hotter output for the same SPL, making it easier to overdrive downstream components if they lack sufficient headroom. The output level of 4061 can be a more comfortable match for much prosumer recording gear. This is one reason why 4061 is more available used - its output is better suited to the wireless transmitters used "on talent".
I originally selected 4060 as my do all omni. But I record way more quiet to medium-loud stuff than really loud stuff. I've only had a handful of situations where 4060 either distorted or overloaded downstream gear (preamp or the recorder's input-stage), and I suspect the new Core version with 6dB more headroom might have eliminated my perception of distortion, assuming the source of that actually was the microphone overloading. I've not had any situations where 4061 have distorted. For what I record, 4060 with an extra 6dB of headroom would likely handle everything I do.
The important question with regard to microphone self-noise is: How truely quiet are the quietest spaces in which you record? Maybe check with a sound meter app the next time you are in such a situation.