There main issues you may have are snow load, spindrift getting in through the mesh,and wind resistance. You can easily get enough snow to collapse the tent overnight if you get a big dump and if it is relatively wet snow. But you can deal with that by getting up several times during the night to clear snow off the tent - ad from around the base of the tent walls. The last is pretty important as it gives the snow that slides of the tent someplace to go rather than piling up against the tent.
I would look at it this way: if the trip is one or two nights, you can look at the forecast and judge before you go - if the forecast is good, you'll probably be okay with the light tent. If the forecast is sketchy, rent something more substantial and you'll enjoy the trip more. If the trip is more like 3 or 4 nights, I wouldn't trust the forecast much for that long, I'd get a more robust shelter.
I would also say that I have never once in all my years of snow camping regretted carrying a reliable shelter, but I have on a few occasions wished I had something more robust along when the weather got bad.
In the main, I would always keep in mind that the choice isn't so much about what tent it is possible to put up with but rather it's about what will make the trip the most fun. A couple more pounds in the pack is well worth it if the weather turns foul, especially if you are new to snow camping.