I think the blocks should only be turn-based, it makes the weight of each decision by the player much larger. Also, having two kinds of moving blocks would make the game less consistent so whenever a player encounters a new mechanic they have to judge whether it is real-time or not which might confuse them. Have you ever played Helltaker? It's a free indie game on steam that's been blowing up recently. There are some ideas/mechanics from there which you could take inspiration from for your future development of this game. Also great game btw.
I understand that but I think that they can work together well too, take nova 111 for example they can play really well together in parts of that. If i do implement both kinds i would try to make it super obvious which kind is which but I do understand that there could be confusion. I havent but i will look at it. Thanks for playing!