It's a perfectly reasonable thing to ask. Monitors keep getting bigger with a few of them doubling up as TVs. It may not be the primary screen in the living room for watching movies but it's great for the bedroom where you may be surfing the net, playing a game or "watching a movie".
As to whether a Samsung monitor with HDMI supports HDCP or not, I'll say yes. I have a range of screens which support DVI-D and/or HDMI, including a 23" Samsung "Monitor with freeview" (my description for a monitor with TV attributes) and all of them support HDCP. I'd actually be surprised if you could find a monitor or tv with HDMI or DVI sockets which didn't support HDCP.