Better late than never
I'd say that her focus CAN be on footsy things when staffed (i.e. counter-poking, wiff-punishing, spacing, zoning, abusing your DP's hitbox), but it depends on the match-up. She's got a variety of tools, but with her staffed game-plan usually it's just about making the opponent respect a particular option so that they hesitate and let you start your mode-switch pressure game. The thing is that, depending on your opponent's character, just forcing them to play around your staff-call can work just as well to let you get in, so I find I center as much of my footsies around positioning and timing staff releases in staffless mode, as I do dancing around my peak ranges when staffed.
Her normals in both modes are good, but they do completely different things. When staffed, you don't have any quick lows, so your pressure becomes more about frame-trapping or setting your staff mid-string (or doing both by late-chaining into 6D!) until you can go staffless on them. Staffless, your range (without staff-calls in the picture) peaks at her 2B(e) range, so if your opponent isn't worrying about your staff (for example, it's flying behind you or it's sitting motionless behind them), your neutral and poking just isn't as threatening. Still, I'd argue every normal in both stances has its use.
As for that first combo, the notions I included in 1a) and 1b) are the middle and end of a combo you can start from bullet 3). I also go into it when I anti-air people who aren't air-barriering and for certain staff-position-dependant combos. Unfortunately, it's not quite something you can just go into from regular hits from normals, short of RC'ing into Itsuu. Because of this, even at top levels, you see staffed Litchi often settling for oki and extending pressure, rather than converting every hit into 3k the way some other characters do. Apologies for not making that more clear... and for inexplicably failing to include a bullet 2). >.>
Yeah, you're an SF player, right? The transition wasn't bad for me because my main game is GGXXAC+R, so I've already got a feel for airdasher execution and mechanics, and a variety of people to play at different levels. I think it takes a lot of knowledge-gathering (re: on match-ups, mechanics, strategies) to get comfortable in CP even before you settle on a character. Normally, to make up for this, there are a lot of easy-to-pick-up characters in this game with simple gameplans and low execution requirements to give you time to focus on the core game, but Litchi's not really one of them. She has all the tools to let you feel like a mad genius when everything comes together though, so I have to recommend learning her if you have the time/drive.