Some are, of course, but most of those common in the hobby not so much. Not that they need still water, some current is fine ime, but I don't overdo it.
The Geophagus surinamensis group consists of fish with varying shapes and needs. It is not unusual for several species to occur together in the same habitat. It is important to understand that these species pairs or groups also share the habitat in a specific way. The higher-bodied species usually occur in slack water over more sandy bottoms, where one would find plenty of wood, while the slender-bodied species prefer the rapids, with rocky substrates and high current. This latter group is known as rheophilic, or flow-loving, fish...
A 30-minute boat ride away, where the dark waters of the Tapajos meet the main channel of the Amazon, another gigantic lagoon drains through a narrow channel into the main branch of the Solimoes (the main channel of the Amazon). Here, both the red head Tapajos and the other unnamed fish are completely absent, but G. proximus are caught in large numbers, with plenty of them ending up on the tables at the fish market in nearby Santarem. All of these habitats are shared with other “slow” moving water cichlids: Uaru, Acaronia, Pterophyllum, Satanoperca, Mesonauta, Heros, and Symphysodon...
To find the rheophilic Geophagus, you have to travel upstream where the rivers of the Brazilian Shield (Tapajos, Xingu, and Tocantins) undergo the largest drop in elevation.