The problem there would be searching for components that would give you lots of results in the main dictionary tab. Characters with multiple pronunciations, e.g.; you could end up with such a long list of definitions as to be nearly useless / impossible to navigate. The main point of component breakdowns is to give you the essential / basic meaning of a component, in fact we weren't originally sure whether to link them to separate definition screens at all.
That being said, as it happens this is another area we're working on right at this moment, and the current plan for definition screen tabs in general is that every list of results in there will be a customizable search, so that in theory you could customize it to behave the same way your main screen search does. (we've wanted to add flexibility to the definition screen for a long time, for lots of reasons - people might for example want a separate tab for all of their Classical dictionaries, or might want all of their component definitions from a user dictionary they'd made with Heisig mnemonics) So while I can't make any promises yet, I expect that if you want to have the character component search screen give you a giant messy dump of every conceivable definition from any dictionary for a character you'll probably be able to do that.