Others simply call objective what you call ''effectively objective''. There is no need to eliminate the uses for a word and then to substitute a more complex version for the previous usage.
One can consider objectivity to be dependent on social agreements (and hence subject to potential change), without having to change the terminology. On the other hand, if Aristotle would visit the earth today, I think he would agree with that much of our science is objective while some of what he thought is correct wasn't.
Thus I believe that objectivity doesn't change but only the degree to whioch we come close to objectivity, and how convinced we are of something to be objective. Real objectivity is not a time-dependent thing.
In the interest of easy communication, one should strive to use the most common terminology rather create one's own.