Oh good grief.
Women do NOT have ANY control over when they go into labor (unless they are being induced or scheduled C-section, which is quite different.)
Women do NOT have ANY control over the breakage of their placenta, which causes the leakage of fluids. It is entirely an internal process activated by factors outside voluntary control.
Anyone who subsequently believes a woman has even the slightest control over either of the above and is implicating that said woman, WHILE IN LABOR, should clean it up, is exhibiting quite special snowflake behavior and should seriously reconsider their opinion.
Unless, of course, they also think that people having seizures who lose control of their bowels should clean it up, while actively seizing. Or people who are suffering from an acute stroke or normal pressure hydrocephalus should be asked to clean up the urine they spilled.
Or are those emergencies somehow ok?
In all seriousness, the implications of the argument against this are frightening. We're better than this.