Do multi coated filters compensate for single coated lenses?

David H. Bebbington said:

A multi-coated filter will lose less light at the filter, but that's all. In other words, using an uncoated or single-coated lens with a multi-coated filter will mean performance just a little closer to that of the lens with no filter. compared with the same lens and a single-coated filter. There's no way a filter can improve lens performance, only impair it less!

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