Yes, even of your arena sets on top of a raise pad, you will create a lovely soupy bowl if you border to incorrectly.
I bordered mine with Railroad ties, which were held off the base by seting them on strips cut from a sheet of 3/4" pressure treated exterior plywood. I used three or four 5" strips per tie. The strips held the ties just a bit away from the base, the water ran under the ties after draining to the edges of the arena. I placed the ties after the footing was in, but carefully raked the footing in from the sides so I put the ties on the base, not the sand.
The ties were kept in place by sledghammering pieces of rebar (be careful to countersink!) through hole drilled in the tie and driven several inches into the base.
My arena had a 1% grade lengthwise, and was base was “domed” down the centerline, like a road. That prevents ALL of the arena’s run off from running the entire length of the arena before it exits. Runoff created from the whole arena being on the same grade creates a LOT of force, and will carry your footing out of the arena during heavy rains.
My arena was a full-court dreadsage arena with a 4’ border of base around it. I placed all the ties by myself with a tractor with forks on the FEL. It took me a few days.
Depending on your topography, you could go one season without a border, and evaluate your situation. Just be ready to do a lot of raking in the track, since the sand will migrate out and get thin due to the force of the horse’s hooves and the lack of a border.