I am not opposed to the use, but ask the same question someone else already did, where does the technology stop? I suspect it won't and we will just see more and more ways that stay within Local Parks and Wildlife rules, or the rules will be adaptive for certain things.
My rub on e-bikes, or you could say wilderness recreation in general, is maintenance. Too many people say it's "ours to use" but don't realize there is a cost to maintain and monitor. In Colorado, most of this is hunting/fishing licenses and lottery money. But the majority of summer users aren't hunting/fishing or playing the "mathematically challenged 401k plan".
Groups like the RMEF expand access to areas, and it become public access.
I would support a general recreation fee for use and maintenance, although many masses of people will disagree. Remember the "hug a hunter commercials"? They have messaging in that the fees go to this. But there are so many users of the trails that think hunting is a cruel activity. How do they pay for use?
So to the point. If the E-Bikes are broadly allowed the average Jack and Jill will begin to access the wilderness areas for weekend rides. Just as expanded hiking and biking has already added pressure to wildlife, giving people further reach for weekend recreation will make this worse. I think the access for bikes needs to be minimized for these reasons. The weekend folks will go 20 miles in on an e-bike where the hike may have stopped at 5. An exception could be game retrieval. Simply because of a hunter can successfully get game out more efficient and limit spoilage risk, all the better.
A friend of mine bought his wife an e-bike. They used to ride regular bikes and brewery hop. Now that she has the e-bike and he has the pedal bike he can't keep up. He said it was a mistake because now she wants to go the breweries 15-20 miles from the house, where before they stayed in a 5-10 mile radius. Anecdotally this would be push game around differently and could have unintended consequences.