This debate will probably rage on through the lifespan of this phone. Personally I am open minded and have read this thread and decided to do my own test.
I bought this phone on launch day and within the first week I installed an app killer because I didn't like the way the phone continuously turned on processes and apps I wasn't using or never used. I tried all the ones I could get my hands on and personally liked Task Panel the best. I like the auto kill feature on sleep and the widget for quick kill. I've never had any problems personally with it preventing email alerts or anything like that, however I must add, to conserve as much battery as possible I don't have the phone sync things like email. When I'm ready to read my mail.....I go get it. I set it up to auto kill things that wouldn't give me problems. The phone always ran smooth for me, other than the occasional force close of some of my apps (home ++ seems to be getting ornery, but I like it to much to uninstall) the phone ran smooth. I would like to add Task Panel is having an issue with killing the music player on sleep right now, regardless of you're set up. I use Pandora so it's a non issue for me, but something that hopefully will be remedied by an update soon.
After reading this thread, I thought "maybe I don't need this app killer, maybe I didn't really give it a chance from the beginning". So I decided to uninstall. I gave it every chance for 2 weeks.
I experienced the lag in swiping screens (thought maybe it was in my head), Apps would take sometimes up to 30 sec to load after launch (I thought maybe it didn't register my touch, as I would go to touch again, before my finger would hit the screen, it would finally launch). I restarted my phone more than ever (trying to give it a fresh start.) And one particular day I noticed the phone continuously getting slower and slower until it finally just quit (thought maybe battery issue..i.e going dead), it wouldn't turn back on, when I plugged it in, the charging light didn't come on...nothing. I popped the battery out for a few seconds, put it back in and I was off and running (possibly coincidence). A few days after this, and continuing to experience lag and slow down and trouble shooting some apps to see if maybe one was the culprit, I was ready to exchange the phone.
I decided instead to reinstall and reset-up Task Panel. The phones response was immediately noticeable, swiping screens was smooth again, as long as things were killed the apps I wanted to use came up snappy. It's been about a month now. I'm back to rarely restarting the phone for a "fresh start", and I've had no more extreme slow downs or crashes. The phone runs like it did when I took it out of the box.
So for me it's staying. To think that you can have 100 things running in the back ground on any device, with any OS, and not experience lag or slow down is ludicrous in my opinion. They will all brag about their multitasking abilities. Windows has for years, we all know how that's turned out, Ive spent many a day in msconfig.