If it really is a deterrent, then the large numbers currently in France, would be claiming asylum in France.
Only small number are ever going to be in the "out" category, so not only is there a high probability they wouldn't be affected, they might end up being in the "in " category.
There is a time limit of 2 weeks between when arriving in the UK and the UK applying to France to have them returned. Get past the 2 week limit and the scheme doesn't apply.
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c. shall not apply if the Third-Country National was known to have arrived in the United Kingdom more than 14 calendar days prior to the date of the readmission request;
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