Cut and Paste for Take Lanes is a hit and miss affair, and has been since they were first added. I don't get why such and important feature as cut and paste has not been addressed by the bakers. It must be a too-hard.
There are also major issues when cutting and pasting whole multiple tracks. These even predate take lane issues.
I have found work arounds for all of them. For example, when cutting and pasting whole sections of a project, I create a space in teh project using the add time feature exactly equal to what I am going to paste in. I can't use the regular paste feature because sometimes some tracks are moved the same amount and some will move wonky. No rhyme or reason.
My best advice is this: know it's not you. Experiment with work arounds.
I wish this most basic of all features in a DAW worked.
Rick