Ah, I get it now. I thought you were talking about sustained long notes that split.
I just tried it, and yes, you're right. Logic doesn't handle MIDI region splitting that way, I don't think it ever has... unless someone else can chime in and correct me! To my knowledge, it's not possible to do what you're asking in Logic. If this is a feature that is important to you, you might want to postpone your plans of moving over to Logic. It just doesn't have it.
Honestly, I've never 'missed' this feature in all of my years of using Logic. I didn't know it was a thing until you brought it up. Once I split a MIDI region, I don't see a need to drag it out. When I want to split a region, I have a deliberate reason to split it. If I wanted to retain the region for whatever reason, I would quickly hit my key command for 'Repeat Region' and then do my edits on the 'original' MIDI region. Or I would utilize the new Alternatives feature.
Thanks so much for your help. I now know I just had to find another DAW. I was originally told that Logic's MIDI was as good as Cubase, DP, or REAPER so I wanted to see. I'm sorry to find out that's not the case. I appreciate you taking the time to respond.