1) You can't see the lineage from the main screen, and 2) you can't see the name of the plant from the seed screen.
I expect LDW thought the game would be too easy otherwise.

Matter of opinion, I suppose. It doesn't raise the difficulty bar, in the sense of making the game more complex before achieving success, but rather, more of a chore--different things. The difficulty derives from removing useful and pretty obvious tools, rather than increasing complexity or adding new goals, for example.
PT can be approached in two main ways:
- adopt a careful, methodical route, keeping spreadsheet and maybe other records;
- just play the game.
Obviously there can be shades of grey between the two extremes, but personally I prefer the second route.
I tend to prefer the second, too, which is why I miss something as simple as the ability to view the name of a plant when I click on a seed--especially when 4 different plants or more produce a seed that's identical.

Each to their own, I suppose.