It should be fine. The two important things you need to ensure are that:
The outflow pipe is connected to the bottom of the radiator. (It doesn't really matter whether the inflow pipe is connected to the bottom or the top, since hot water rises anyway. But if the outflow pipe is connected to the top, it will let out the hottest water in the radiator rather than the coldest.)
There are no internal baffles or other obstacles that would prevent the hot water from flowing into the top ends of all the columns and the cold water from flowing out of their bottom ends. (Apparently some radiators designed for a bottom-to-bottom connection may have such baffles installed at the bottom, even though they really should not be necessary.)
Since you have the radiator disconnected from the pipes, the second part should be easy to check: just look into one of the top ports and check that you can see all the way through the radiator to the other top port. Or try pushing something like a curtain rod in through one of the top ports and out the other and check that it goes through without hitting an obstacle. Then repeat the same check for the bottom ports.
Also, as noted in the other answers, if your radiator doesn't have a built-in air bleed valve, you'll need to install one to at least one of the top ports. It doesn't really matter much which one; the air bleed valve can share a port with the inflow pipe but doesn't have to. What's important is that the bleed valve must be at the highest point of the whole system where air bubbles will collect. Ideally you should mount the whole radiator at a slight angle, so that the end with the air bleed valve is slightly higher than the other end.
Finally, once you have the radiator hooked up and working, it's easy to check whether it's heating evenly with a thermal camera or an IR thermometer. Basic thermal cameras can be found for under $100 nowadays, while IR thermometers (which are basically just single pixel thermal cameras) may cost as little as $10. Or, in a pinch, just touch the radiator with your hand and check that all of its four corners feel reasonably warm. It's normal for the bottom side of the radiator to be cooler than the top side since, again, warm water rises and cold water sinks. But if one of the bottom or top corners feels noticeably cooler than the other, you may have some kind of water circulation issues.