Or should all places ... also have a standard EOSID published
No reason why not (unless it's changed, one could cite 30 HBA as a for instance, although that's all departures ..AEO and OEI). However, the commercial reality is that one size doesn't fit all due to engine/airframe differences .. each needs to be optimised to the location if the airline is to end up with a "good" RTOW.
state aviation authorities be putting more emphasis on it?
Nice thought but an operator responsibility so I fear that few Regulators will want to get involved.
so widely misunderstood by pilots and inadequately considered by airlines
A matter of corporate will and training. I'm sure that Mutt, OS, and I have spent quite a considerable effort over the years in educating those operator crews for whom we have provided charts ... unfortunately many pilots are given minimalist training and some operators appear not to know what they don't know ...