That's not the point. If without anycast this is better than with anycast, then this should go on the "con" list for anycast.
People often confuse two separate technical things here. One is the BGP anycast technique which allows anycasting to be used in an IPv4 network, and the other is the application of BGP anycasting to DNS in an IPv4 network. It would be clearer if people would prefix "anycast" with either BGP or DNS to make it clear which they are talking about. Conceivably there could be other applications that could be distributed using BGP anycast. And if those applications are designed knowing the quirks of BGP anycasting then presumably they would have ways to overcome some of the issues that affect DNS. I would reword your statement as follows. ... then this should go on the "con" list for DNS anycasting. --Michael Dillon