Connect tweeter directly to radio for LZK?

Day/night, is it recommended to connect the tweeters directly to the radio instead of to the crossover? Or in other words, does that still sound like that? For the purpose of the runtime correction it is certainly better if you connect them to the radio, because if I have the HT and the woofer together on a channel of the power amplifier, the tweeter can no longer be regulated seperately – because always both sound sptrechers are regulated together!? The radio is a Alpine CDA-9812RR with 4x40W Ausga ngsleitsung. Another question: Do you disconnect the front speakers when HT ́s are installed?