I think a really fun idea to explore with Tim would be the idea of him having Hyperthymesia.
Hyperthymesia is an ability that allows people to recall almost every event of their life in great detail. It's extremely rare and honestly doesn't have that much research done on it, but recent studies have suggested that people with this ability are limited to autobiographical memories, people with HSAM sometime tend to show symptoms of Obsessive Compulsive Disorder and may demonstrate obsessive tendencies.
I think it would be an interesting way to explain why Tim was able to recall his first meeting with Dick Grayson and connect the dots to seeing Robin. Tim does display a lot of obsessive behaviours, and while he doesn't really physically display compulsion (like someone with OCD would typically display) there certainly is a strong case to be made for him potentially having it.
But also, can you imagine how fucking horrible it would be for Tim to remember each and every traumatic thing that ever happens to him as a hero and those memories just never fading. Yes, it would make him a better detective and allow him to be arguably smarter than your average joe, but at what cost?
Everyday i think about this screenboard scene that got semi-scrapped from Donnie vs Witch Town, like it just explains so much about Donnie as a character and i’m very sad we didnt get to see it entirely
One of the earliest examples of Leo’s “I’ll do my own thing to accomplish our goal without discussing it with my team first” is in episode one. It’s super, super quick, and ultimately inconsequential, but it subtly sets up a great precedent that I think is very interesting.
When the boys need to grab the medallion from Splinter without Splinter noticing, Raph, Mikey, and Donnie huddle together with Raph taking the lead in trying to devise a plan to get the mystic device. Meanwhile, Leo slinks away and grabs the device by clocking the situation (by knowing his father well enough to predict his actions - something he does with each family member multiple times in the series) and making a move on his own.
It works out perfectly fine, and is ultimately the best move, and it’s honestly okay that he didn’t consult everyone for something so small when it’s such a non issue to get it, but it nicely sets up how this tends to go in the series, including how it goes in the movie.
To be honest episode one is actually really good at setting up a lot of things for each character in the long run, this is just one example that caught my attention, as small and unassuming as it is.