Are we talking about practicing the same move on both sides or different moves for different sides? The two are distinct approaches. What you are describing is the second.
Someone in a boxing gym will typically throw 100% of their jabs with one hand and 100% of their crosses with another. It is extremely rare to switch stances halfway through and balance the two. Jabs and crosses are two entirely different moves with entirely different mechanics used for entirely different purposes. They complement each other well, but they are in no way the same move.
You see this in other forms of grappling as well. In Judo you typically grip with a certain handedness. If you face someone with an opposite grip, you don't typically switch your grip to the mirror version to use the same set of moves on the other side. You typically train a different set of moves for each side.
The BJJ equivalent of this would not be training the triangle on both sides. It would rather be something like only training the triangle with the opponent's right arm exposed. If the opponent exposes the other side, you would just attack with an omoplata instead.
I generally encourage different moves for different sides. It creates more variety in the game with less effort. Also each individual attack tends to be sharper.
If you pass to my right, I have one strong sweep. If you pass to my left, I have a different sweep that is also strong. This does not create a weak side that the opponent can exploit, but it's also quite a bit different than just training the same sweep on both sides equally.
