Some upper and lower case letters have no clear resemblance, see Aa Rr Gg Nn, so one has to learn 52 symbols. Add other 52 symbols for script, if you have to. Then in the case of English learn how to pronounce or spell words, because in some cases there are no rules (why ocean and not oshean? Because of derivation from Greek, still...)
Anyway, any alphabet is better than Chinese characters.
Even without autocorrect, you can write a word in English such that most people would understand. Of course, in a logographic system you'd just write a homophone (which is what people actually do, write a simpler word pronounced the same).
As for looking up, it is in principle easier though. You only need to learn the order of about 26 things, not about 200, and can then run iterative binary search over it, and don't have to switch to stroke count. It is possible, of course.