It's not rubberized, but that's a good idea. I could spread a little left over silicone sealant on the strap to make it grip better. If that doesn't work I could always just run some screws through the strap into the filter. I'm not above doing that.
I wonder if cleaning the filter with some rubbing alcohol wouldn't help getting a grip. Getting all chance of oil and grime off of that filter and making it squeaky clean.
I used the channel lock style filter wrench with no problems on my first 50 hour service.
+1 (for third time!) for the Channellock filter wrench. I have the 12" (range 2 3/8" to 4 1/2") which fits all the filters on my DK35 HST. There are also 15.5" and 9" models. For me it is handier than a strap wrench but I don't how it compares to a chain wrench(never used one). After breaking my strap wrench I went with the Channellock pliers because it had high ratings on the Amazon and Canadian Tire sites.