Sim, eles devem trabalhar juntos
Isto é (não oficialmente) esclarecido por Mark Seifter (um dos designers da Pathfinder) em paizo messageboards ao discutir os efeitos de um Kineticist Lâmina Cinética com uma arma condutora. Eu ousarei a parte que é relevante para nós.
Conductive has some really vague wording, and given the Kineticist has probably the most-complex at-will SLA, so this is definitely a pertinent question.
Here's a few things I've taken away from reading conductive like 5 times in a row to scour its wording. Note that this is a personal take, and by no means official:
1) I agree with your assessment here. Based on the exact way that you sort of trigger the Su or SLA after a successful hit, kinetic blade would not work because it is used specifically as part of certain actions to make the blade, rather than something that is delivered on a hit, so the same thing that helps it in action economy and AoOs harms it here.
2) I agree with you again. It seems to me that since an antipaladin should be able to choose cruelties when delivering his evil lay on hands with conductive, a kineticist should be able to apply non-form alterations to the conducted kinetic blast on the same grounds. Forms would be out because you've already hit at this point with the weapon, so that's the form the attack took.
3) Here's actually another thing (and a good lesson not to use passive if we can help it). "This weapon special ability can only be used once per round" is passive. It seems to be saying that a particular character can only use the conductive weapon special ability once per round, and that's the ruling that makes the most sense, but due to the passive here, it technically is possible to make the claim that it could mean varying things.
Para explicar por que o Kinetic Blade não funciona, temos que entender como ele é ativado. Você cria uma lâmina cinética como parte de seu ataque ou ação de ataque total, você não precisa acertar o alvo para ativá-lo, você simplesmente deseja que ele ative e funcione, contanto que você estão atacando seu alvo. Você pode perder o ataque usando o Kinetic Blade, por exemplo. O texto a seguir também desqualifica o uso condutivo para o Kinetic Blade:
Even if a telekineticist uses this power on a magic weapon or another unusual object, the attack doesn’t use any of the magic weapon’s bonuses or effects and simply deals the telekineticist’s blast damage.
Com isso dito, por que funciona para Antipaladins ? Porque suas Crueldades são aplicadas em um ataque de toque bem-sucedido . E isso é tudo que você precisa, a habilidade deve ser ativada em um toque ou ataque à distância.
Toque da Corrupção:
As a touch attack, an antipaladin can cause 1d6 points of damage for every two antipaladin levels he possesses.
Crueldade:
At 3rd level, and every three levels thereafter, an antipaladin can select one cruelty. Each cruelty adds an effect to the antipaladin’s touch of corruption ability. Whenever the antipaladin uses touch of corruption to deal damage to one target, the target also receives the additional effect from one of the cruelties possessed by the antipaladin. This choice is made when the touch is used.