You're right that the stats are not very good, but that's because they significantly under-count incidences of rape.
Rape cases can be complex, especially where the alleged rapist is also accused of domestic violence or coercive control, and this fear of violence from the alledged perpetrator or his family and friends leads some people to retract their allegation. Note that this does not mean they are false allegations, here's a woman who was prosecuted for falsely retracting a true allegation.
> In November 2010, the Court of Appeal considered an appeal against sentence in the case of Ms A, who ultimately pleaded guilty to perverting the course of justice on the basis that she had falsely retracted true allegations of rape she had made against her husband.
The annual crime survey (seen as reliable statistics) say that about 140,000 women and about 8,000 men are raped each year. There are about 6,000 prosecutions, and about 2.5k convictions.
There are 35 prosecutions for false allegations of rape, out of about 90 cases that failed because the victim retracted their statement.
https://www.cps.gov.uk/sites/default/files/documents/publica...
https://www.ons.gov.uk/peoplepopulationandcommunity/crimeand...
The feeling that woman make very many false allegations of rape is not ture; the feeling that they go unpunished for this is not true. It's frankly disturbing that men seek to focus so much attention on this tiny number - fewer than 100 people per year - and not on the very much larger figure of over 8,000 men and 140,000 women who are victims of rape.