Formally you can say NO but I thing that third party auditor have to decide if the decision is acceptable (If some company is known in public as critical for the environment, decision NO is for me unacceptable and I will give nonconformity).
Well I am a 3rd party auditor and I cannot say that a decision is acceptable or not and your nonconformity would be tossed out if it was presented to me as a Lead. I can ask why and maybe talk about it a bit, but to go any further might be crossing that line I cannot cross. Man-oh- man I can see it now...."You made an unacceptable decision"...."Really? An unacceptable decision? You can get out of my building!"
Here's the deal, and regardless of what others may say, the decision of what is or not is significant is the sole property of the organization just as the decision to communicate them externally is. Now y'all seem to be having a slight problem with the basics of what is an aspect, what is an impact, how significance is to be determined and what to do with the results of the whole process. Guy's, SA's don't have to be reduced, eliminated, have objectives against them, nothing, they only have to be considered for stuff, controlled, monitored-measured, and internal people made aware of them but you don't have to make them go away.
Have you never heard of a positive environmental impact, or of a positive significant aspect? They exist.....

Going back to the subject here....Suppose my facility identifies electrical consumption as a significant aspect...Who's business is that and who are you to tell me that I have to tell you how much electricity I use? You payin' my bill or something this month? I couldn't care less how interested you are. I identified it, I'm gonna control it, I'm gonna monitor and measure it and all the information will be provided to my management (me) to decide what to do if anything.