My funnel has a strainer and I like it. Athough I don't worry too much about how much trub gets into my fermenters, it's nice to strain some of it. You just need to be careful when you use a good amount of hops as the strainer will clog. I use a home made hop spider for my pellet hops, so there's never enough "stuff" to clog my funnel strainer now.
I don't think reduction of trub going into the fermenter is a bad thing. The less that goes into the fermenter, the less than can make its way to your bottles/ kegs. Most of it falls to the bottom of the fermenter, so as long as your careful while racking, you can get some good clean beer into your bottles/ keg.