Well - perhaps, but it could also be because it is a different language then the my national language as well.
I've never spelled very well, neither on danish nor english - but I spell a heck of a lot better when using the computer, even withouth spellchecking.
Also - you have to notice, that there is a different of worlds, in typing on an Intenet forum, then when typing up a report for your disertation or communicating with clients at work.
So whether or not that is a con, as you put it, is in the eye of the beholder, and needs to be viewed in the right context instead of pulled out of some Internet forum post.
If I had to write that piece in hand, I'd used at least twice as long time, discarded several drafts, and then submitted it. With computers I can instead focus on what I want to say, and try and formulate it as well - to the best of my abilities.
People doesn't get to be better spellers by writing in hand instead of via computers, looking up words in a dictonary instead of using a spellchecker. They dosen't become better at writing by doing it in hand.
The reason is that focus is shifting towards other skills in schools, not because of the "lazyness" of computers. Back in our days we spend time writing, practicing our letters et al, now a days kids learn other skills instead.
It isn't "easier" per se, it is simply different.