There is less of the drudgery of counting and memory in poker than in other card games of skill, but unfortunately you will need some counting and memory even in poker. If you aren't capable of it you can still be a pretty good player but you won't be a master player.
In stud poker, memory of cards is important. In draw poker, you don't have to remember many cards but you do have to analyze the special values of certain cards. In both games, you have to both remember and analyze certain things that your opponents have done. I will take these up one by one.
Memory in stud poker. The stud player simply has to remember what cards have shown and have been folded. Otherwise he won't know the chances that a particular opponent has a particular hole card. Also, he won't know his own chance of improving.