I agree with Woodman here.
While it might initially seem to be an economical, space saving move, this can easily turn around on you. There's nothing more fruatrating than having a two in one unit where one stops working. ...and it will.
Now, do you scrap a perfectly good DVD player (or vcr, whichever still works) and buy a brand new two in one, or do you simply go and buy a stand alone unit to replace whichever part died. ...result - two boxes anyway.
It isn't picture quality I worry about.
How long are warrenties on these items? One year if you're lucky?
In any event, it's a given that at some point one of the two functionalities is gonna crap out. To maintain that functionality wil simply require a separate box.
And, One of the Murphy's Law states that the most important function will cease before the lesser function, which will go on forever.