IME, most commercial planters like the two you posted are too small in volume of soil for the plants to thrive. With such a small (shallow and narrow) box for all the plants’ roots, the soil dries out too quickly and the swings in soil moisture make for difficult growing conditions.

Unless your fence is pressure treated, having a planter in it may hasten its need for replacement since the fence may be damp more often.

For these reasons I might look into other options such as hanging baskets on hooks or tall pots near the fence.

Sorry not to give you planter suggestions.