Ones that cause damage or negative statuses / debuffs will, yes.
This would act just like evasion from SoFr
I believe field effects work by iteration of each affected slot and applying the effect as needed (flooding is the main example right now). So anything that would stop mass targeting should also stop field effects...
I've never actually checked to see if evasion can stop drowning... its a good question. My guess would be yes, since immaterial and burrow mechanics both do so.