I have seen it tried - ‘genderising’ toilet documents that the government commissioned to work out the best designs for people with long term health conditions. Unfortunately most of the long term health conditions weren’t mentioned, but gender was discussed a lot:
Urinals
It should be noted that male crotch height, while likely to encompass a majority of urinal users, does not necessarily account for the height of trans and non-binary users, or people who have undergone gender reassignment surgery. There is no large-scale anthropometric study indicating the anthropometric dimensions of trans and non-binary groups, or the prevalence of use of urinals for these groups. It is not sufficient to recommend a lower standard urinal height to accommodate all people regardless of sex and gender, as a height that is too low is not optimal and presents barriers in use.
So urinals height is still dictated by male sex, not gender. In fact places do sometimes have two urinal heights to make it easier for boys.
Sanitary Bins
There is limited research on the prevalence of trans and non binary gender identity using sanitary products; however, some trans and non-binary people who do not identify as female will menstruate47,48.
Two references to discuss females need sanitary bins even if they don’t identify as females. Again, the conclusion is sanitary bin need is dictated by sex, this time female.
[In fact males with prostate problems need bins too for different sanitary products but they forgot this].
Pictograms
There is no standard pictogram for non-gendered toilet facilities in England. However, BS 8501 and BS ISO 7001 provides a standard pictogram for unisex toilet facilities…The standard pictogram is likely recognisable and understood by most people as indicating toilet facilities that can be used by all…[but] this pictogram may not be inclusive to non-binary people. Similarly, the term "unisex" on toilet signage may not be inclusive for all people.
Standard toilet pictograms are by sex.
Sexed toilets are for biological, health & safety needs. The above paragraphs show how ludicrous it sounds when trying to separate according to gender.