There seems to be an awful lot of missing-the-blasted-point in this thread.
What Claridges did is illegal: "Service providers must not discriminate, harass or victimise a woman because she is breastfeeding."
Asking a woman to cover her baby's head while it feeds is discriminatory unless the same is asked of women simply holding a baby.
Breast-feeding women do not generally "get their breasts out". The women in question lifted her shirt and bra cup on one side and the baby immediately then covered the breast in question. There is no suggestion here that her breasts were visible to any other diners except for a second or two, max.
The issue here is that somebody either acted to prevent a possible complaint or acted as a result of a complaint. Either way, the correct response is to remind any complainant that they do not have to look, that the woman is legally entitled to do what they are doing and to shut the hell up.
And if we're all supposed to be considerate of someone else being offended, I am offended at the git being offended by a baby being fed with a live breast. So the git should change his behaviour to avoid causing me offense.
And all of you comparing breast-feeding to excretion or fornication or masturbation in public clearly have never been parents and are being genuinely puerile. Grow up!