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I play through steam and have had no problems with it, I think whatever issues it had were fixed.
You can log into the normal client using your steam credentials so you don't need to download the steam version unless you really like the overlay for some odd reason.
Maybe this is too late for you but it might save other people:
DO NOT SUBSCRIBE OR PLAY EVE VIA STEAM.
It's full of problems and launching issues, it is generally outdated, you lose certain piviledges from other payment methods (no trial time added, no referral rewards), you are limited to many operations in the eve website later on (account transfers...) and it's a pain to multibox when needed. The only advantage is that it might be faster to download via steam but I don't recommend it at all.