Per the cited literature, the round tray says "use with seedling trays". The square one says "use without a tray". I haven't priced them lately, but I bet the price of trays is similar to the price of the pots.
Are you intending to sell plants? If yes, you might consider less expensive "disposable" flats in 6 packs or 4 packs instead of reusable ones. I'd really like to train the people that I grow for to accept bare-root transplants. But I'm not there yet. Some are great about recycling pots.
For transplanting, I really really like cells that have a singe round hole in the bottom of the plug. Then I can stick a pencil into the hole and easily dislodge the rootball.
My view towards roots in pots is that everything grown in a pot is going to end up root-bound, so I don't worry about it.
The round trays suggested bottom watering. As a market farmer, those sorts of fiddly watering schemes don't work for me. I want to water once or twice a day, and walk away. I want the excess water to take care of itself and drain away. I don't want to have to monitor whether or not the water in a tray is drowning the plants. As far as I can tell, excess water kills more potted plants than too little watering.
Plants grown in square-ish pots with rounded corners.