I thought that 787 etc. now use purely electrical power that are now (and for the future generation of planes) a no-bleed-air-anymore system.
However not all recent cleansheet designs use this methodology, for example the A350 (launched 2013, after 787) and Bombardier CSeries (now A220, also 2013) both use the traditional bleed air design, as do the modernized 777X, 737MAX and A320neo families. I think even among modern designs, only the 787 is bleedless.
So we're at least another generation away from going bleedless, and it seems that Airbus and some other Boeing design teams have decided the tradeoffs aren't worth it. Maybe the new regulatory environment will put more pressure in that direction.
I sort of recall reading something that not having metal bodies helped with the increased pressure (787 is like 6000ft pressure altitude instead of 8000ft) and reducing corrosion?