I think DeGroots work in the 30s and 40s shows otherwise. Grandmasters know rather quickly what they were going to do in general as they orient to the board state. Then they explore a small set of moves and explode them into a few moves into the future and pick the best candidate. Finally, they spend time verifying their selection.

They have good memories, for sure, but for real game states. This is a quote from Herb Simon, an important early researcher in psychology and computer science:

The most extensive work to date on perception in chess is that done by De Groot. In his search for differences between masters and weaker players, de Groot was unable to find any gross differences in the statistics of their thought processes: the number of moves considered, search heuristics, depth of search, and so on. Masters search through about the same number of possibilities as weaker players-perhaps even fewer, almost certainly not more-but they are very good at coming up with the “right” moves for further consideration, whereas weaker players spend considerable time analyzing the consequences of bad moves.

De Groot did, however, find an intriguing difference between masters and weaker players in his short-term memory experiments. Masters showed a remarkable ability to reconstruct a chess position almost perfectly after viewing it for only 5 sec. There was a sharp drop off in this ability for players below the master level. This result could not be attributed to the masters’ generally superior memory ability, for when chess positions were constructed by placing the same numbers of pieces randomly on the board, the masters could then do no better in reconstructing them than weaker players, Hence, the masters appear to be constrained by the same severe short-term memory limits as everyone else, and their superior performance with “meaningful’ positions must lie in their ability to perceive structure in such positions and encode them in chunks.

I'd argue that there is a certain kind of creativity in coming up with those moves. But since it's mostly a solved game now, modern players probably don't experience it anymore.