If Sony announced a full all backwards compatible PS4 for a premium price $500-$600 would you buy it?

I mean compatible with PS1, PS2, PS3 and PS4 maybe even PSN games from PS3. I spent $400 on my PS3 back in the day and while it was expensive I felt it was justified. Now that I am an adult I like to have premium products if the justify their price. Someday (hopefully) I will have a room with just a 4k TV and all my game consoles hooked up to it and have the ability to play Playstation's history is very appealing to me how about you?

Also in addition the premium console would play CDs, DVDs, Blurays and 4k discs.