Semantic ? No, i try to make the diffrence clear:
Healer is healing focused and DPS is an afterthought
Support is supporting and DPS is an important part of the kit

And as i stated earlier, the encounter design ist the problem or the job design. A question that gets one of two answers depending of your viewpoint:
1. The Job needs more in line with the encounter, therfore more DPS and utility
or
2. The encounter Design needs to change to make "full heal " work

Also we dont talk here about DPS with support option, we talk about healers and how SE could change them for the better. Sure we can look what is possible but to take away from other jobs.. i dont think that is necessary, not after SE tries to strip everything away from all jobs.