Simple illustrator objects copied into indesign places like it was a complexed shape. Not editable vector as it usually is. My preferences are set as recommended for this issue, in both Indesign and Illustrator. I have also tried to restart my computer (Macbook pro) and have the newest OS and the newest versions of CC.
Try this: select the pasted Illustrator object and ungroup (Object menu > Ungroup). Now, you can select, and edit, individual paths and points in the object by using the Direct Selection tool (the white arrow).