The issue i have with moving them is the top heavy nature of the system.I just installed this exact same 50 gal heat pump water heater - seems nice so far, but it was far harder to get up the stairs than the old electric only one went down them! I was looking at the ratings and saw the compressor was under 2A, so I was thinking it would probably not be moving much heat. It surprised me how much cold air was actually coming out. Will have to measure actual power usage when I get a chance.
Standard tanks are basically evenly weighted, the window unit on top kinda makes it unwieldy.