What are your thoughts and plans in the near future, once you move out? I don't think its an exaggeration to say you need a garage to keep it in, think: weather, vandalism, water leaks, inconsiderate a**holes in parking lots, etc. If there's even the possibility of having to settle with a normal apartment with a parking lot at some point, I wouldn't do it.
Driving these cars every day would be a huge pain, sure there's some brave souls here that may say otherwise, but consider the leaking roof, loud interior, CONSTANT ATTENTION, drivers that don't see you in their blind spots, having to avoid steep parking lots, construction, etc, using it as your only car would get old quick, and take any sense of occasion and enjoyment out of driving the car real quick.
The biggest issue of having to daily drive, risking the car every day with how fragile the body work is. Someone bumps into you in the parking lot with the FRS, you have some light body work to take care of, in the Lotus it would likely be totaled.
Besides for the depreciation, the FRS seems perfect for your situation. I'd suggest though, as boring as it sounds, get a career going, find a house, then buy the occasional use fun cars. In the mean time, perhaps sell the FRS, and buy something at the bottom of its value thats still fun, miata, s2000, Z, M3, etc.
Having said all this, given your situation, 21 year old me would have bought the lotus
PS, I bought my Elise when I was 23, if you look young, get ready for CONSTANT snide comments from unknowing strangers relating to their assumptions of why you're driving a Lotus.
Plus, I know you want to drive an Elise partially beause of how it looks, but believe me, the attention gets old. Especially if you're an introvert who does not like being the center of attention everywhere you go.
So much this.