Holder still subject to 90/180 rule for other EU countries?

This confirms my earlier opinion. Updating post based on newly acquired information:

I have residency status or a residency card in an E.U. member country, do I need ETIAS?

No, if you have a residency card or residency status in an EU country, you will not need to apply for an ETIAS but will need to travel using your proof of residency and a valid passport.

and this:

Do I also need an ETIAS if I have a Schengen Visa?

No you will not also need an ETIAS. However, your Schengen Visa will still be required for E.U. travel.

Source: ETIAS Frequently Asked Questions (FAQ) - ETIAS.COM

But not so fast…To make matters more confusing, this seems to contradict the above FAQ:

If you live in an EU member state country, ETIAS may or may not affect you depending on your nationality. Residents in Europe will not be affected by ETIAS in their resident country . However, if they intend to travel to Europe, it may be necessary to obtain an ETIAS.

Source: How Will ETIAS Affect Foreign Residents in European Countries? (etiasvisa.com)

Preliminary conclusions?: I think its likely that if you arrive in your EU country of residence, they will not require the ETIAS. Since Schengen has no internal borders you would not be required to show your EITAS if you after entering your country of residence, later travel through other EU countries. It is more complicated if you arrive first in the EU in a country not your residence. I suspect they are going to want to see your ETIAS.