The big difference between health regen on teams and health regen on solos is that in teams, the health regen is affected by the players and the decisions they make (Tagging, assist calls, outtakes, dhcs etc). The mechanic serves a pretty clear purpose here.
When a solo player regains health in the current beta, the only factor in whether or not they actually get to recover it is if they die before it's fully recovered. It doesn't really change how they play, and the only effective difference seems to be that they get more total health. A slower recovery speed would certainly make it more noticable, and maybe encourage sitting back for a while, but the health itself is still just as guaranteed (Outside of dying early)