They seem interchangeable to me-- at least, in your examples. Other cases exist-- for instance, I change to another train , not into another train . Here, one thing is not converted to another.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.
Change to means to exchange or replace. ‘I’d like to change my appointment to another time.’ ‘ Change my major.’
‘change into another something more comfortable to wear.’
‘my child changed into a monster.’