All IMHO.
1. I would say EVE is not for the casual player, BUT is a game for ppl with a working lifestyle with genuine RL matters to attend, eg family, job, etc. I say this because EVE is an indepth game with many things to grasp and understand. EVE does not allow one to simply pick up and drop like say an FPS or a console game. If you have say only 10 hours a week to play games, then yes, EVE can suit u. But if you don't have the time nor stomach to read up and think of things like calculating damage per second, understanding your enemy's capabilities, learning things like resistance tanking, damage types, etc, then your casualness will impact your overall gameplay experience.
2. Like the others have mentioned here, hardcore players spend more time in the game therefore grind more money and learn the ropes alot faster. Casual mode ie a few hours a week, you have alot less money and generally take alot longer to keep pace with hardcore players in terms of what grinding can get you. Many many many things will remain out of your wallet's reach for a long long long time.
3. While EVE sports a time-based skill development system, unlike others like WoW or LotRO where u need to kill and kill to level up a skill or character level, it's not really the entire picture. What time-based skill means is this: for example to fly a ship (hypothetical), you need say level 3 of that skill to fly the ship:
Level 1: Takes 30minutes to train.
Level 2: Takes 3 hrs to train.
Level 3: Takes 14 hrs to train.
What this means is that in 17hrs and 30mins real time, your character will learn Level 3 of that skill. However, because there is no skill queueing, you have to login to change skills after completing Level 1 and Level 2. If you're a working chap on Casual mode without the luxury of logging in whenever you feel like, you're gonna have to put off training this skill until later or train another (longer) skill until u can.
So even if EVE is a time-based system, someone who can be online alot longer and more often will reach Level 3 of that skill alot earlier than you, which again reinforces the Hardcore/Casual dichotomy.
As for playing for "free", EVE allows gamers with some ingame cash to exchange it for real game time. It is possible to be a casual gamer and be able to afford a 90 day pass in 5-6 months' casual gametime, but as with all things, YMMV.
The best thing you can do is download the EVE demo and get a 14-day trial key and give it a shot.
The best part about EVE for me is the broad spectrum of activities a player can do ingame, both to suit hardcore and casual play styles. There's trade, manufacturing, research, PvE combat, pirating, realm vs realm (called null-security combat or nulsec) battles and much much more. As a casual EVE'er (only about 10 hrs per week, straddling other PC games, a job and a family), some of these activities completely suit me, but not all.
i think ur point 1 falls into the hardcore catergory ler...i have never even bother calculating dps in my entire eve life yet
point 2 if u join a player corp many things can be overcome .. n yes ur personal wallet will be low but then can tag along corpie lvl4 ahahahah
point 3 aiya casual player lose time if cannot login in change skills no big deal ler he casual n dont think its right comparing hardcore to casual in this case
but i totally agree with the last part ..got many things to do in eve...casual or hardcore all got their part n place in eve n err realm vs realm lol