Yes, the problem seems to be that the extra lips on the "triple lip" seal were added to the front or outside of the seal. The original single lip seal barely makes it onto the stub of the cam that sticks out. Often, these added lips on the "improved" seal don't. It wouldn't matter if you had 10 or 20 extra seal lips, if they don't ride on the cam shaft they aren't going to do anything.
I haven't done so yet but I'd like to experiment with pushing the seal in deeper. Normally, you set it so it's flush with the back of the housing. I'm hoping it can be set so it hangs out a MM or 2. The amount will all depend on the space available between the housing and the cam bearing, but just an additional MM or so may help the seal work better, getting it on the cam shaft more.
I don't replace seals just for the heck of it, only if they're leaking. I still have the original cam seals in my bike and they're working fine. What I did do was clean the ends of the cam shaft where they ride when I had the housings off. I buffed them clean and shiny with a Scotchbrite pad. This is an old mechanic's trick that can be applied to any seal-on-shaft replacement. It doesn't really remove any material, just cleans and smooths the shaft surface giving the new seal a fresh surface to work upon. You can sometimes even cure a slight leak on an old seal with this trick. If your cam seals are weeping just slightly, try it before actually replacing them.