Rivnuts from Homestead, PA on 6/1/2022 7:40:03 PM:
Ross:
The rider I encountered on the bypass was riding up the upriver side of the detour path. He was a young (30 something) rider on a geared down mountain bike and was within maybe 150 yards of the top when he finally stopped. His two travelling mates were pushing their bikes up the ascent as I was pushing mine down. (In full disclosure, I ride lots of road miles but I am 71 years old. So take my opinions for what they are worth in that context.)
If you are in good shape and not riding a heavily laden bike, you should be able to get up and over the summit, albeit pushing your bike much or all of the way up and down, without expending greater energy than trying to ride Oldtown Road and others to get to the top. And, as John W. notes, you still have to get down the descent.
Reading your most recent post about your kids riding with you, that casts another light on the question depending on their ages and condition.
You may want to consider a shuttle around the Tunnel Bypass. Earlier posts provide info, cost and contact info about that service.