So is Ti most likely to know the name of every wildflower, or remember every opus number and such things?
I wouldn't say that -- those are very specific details. Knowing the "essence/ nature" of something is different than accumulating lots of details.
Ti collects details, then crunches through them and spits out the conceptual truth/framework that connects them all.
So while I have a good memory (well, I did before I stopped sleeping!) and often accumulated lots of details, trivia or otherwise, I am very aware that my mental process is one that searches out the details, coaxes out the patterns / underlying concepts, then throws out the detail.
(So it is very frustrating to me when I get into a Te style argument -- I have to research the topic all over again! All I have in my head are the conclusions and underlying concepts, and if someone wants me to explain everything, I often have to go back and recreate my process.)
There is something I dramatically lack when processing information, and it has to do with categorization and labeling. I do love to organize things externally, but I'm hopeless with labels. It was my biggest challenge getting through grad school. I loved discussing stylistic evolution or dating a piece on hearing it, but naming pieces on hearing them? No thank you. I also love organizing sounds based on an inner vision, but once again, the less they are labeled in my mind, the easier they are to work with. Is that Ti or Te?
I'm not sure what all that is. I will have to think about it.
See, discussing stylistic evolution or dating a piece on hearing uses more Ti -- you're describing a process for the first, and for the second you are discerning the pattern in something based on reducing it to its core elements, then comparing it to other known patterns. (Does that make sense?)
Te is much more like library science, lab research, the scientific process, the skills that mechanical engineers use, or an electrician uses, and so forth. Practical mathematical equations -- accounting, bookkeeping, number-crunching, engineering / science experiments with quantifications -- fall into that category as well.
(I find doing math computations boring, the conceptual math is more interesting, for example!) It's also like people who love to create theories, versus people who like to implement/use theories to organize and do things.
Imagine a lab technician, who uses high-tech equipment to examine and study forensic evidence. A Te person does very well in that environment. A Ti is less concerned about the outer process and sometimes would get frustrated because the process is so exact and rigorous and all about the external concretes.
Awesome analogy then

It makes you sound very INTP. I can't picture a Ni-Te saying anything like that easily... certainly not easily and willingly. (I'm trying to picture my GF saying this and I'm cracking up!)
But I could see an INFJ saying it.
For an INTJ, it is far too personal and organic. (either that, or they are wasted/drunk off their gourd!)