Field effect damage should definitely require some type of saving throw to either reduce damage or even better, avoid it entirely due to how common it is just like the status effect fields. Barrel explosions should require a saving throw to halve damage too.
It's pretty insane that there's anything that can inflict unavoidable damage with no way to reduce or dodge them at such low levels, which is a big part of the reason why these kinds of mechanics are seen as completely overpowering the source mechanics in importance.