Yea, I try to avoid riding the wrong way down a one way, especially if I know where I'm going/not lost.
I used to take Upper Panther Hollow Trail both inbound and outbound. They closed it last fall. It also wasn't much fun in the snow without knobby tires.
There is also the issue with what to do at the termini of the trail. Getting on the trail from Greenfield Rd is usually okay, make your way from the bike lane ending over to the left turn lane and take the curb cut. Getting off the trail at the Oakland side requires you to either take this little bit of singletrack that is a muddy mess when wet (not ideal for 25mm slicks) or continue on and exit on the other side of the bridge in that parking lot there. Then you have to try and make an illegal(?) left turn onto the bridge, or just take the sidewalk over to Phipps and try and cross over at some point after the bridge.
Going home, you have to somehow cross the road at the sketchy intersection at Phipps, and hop on the sidewalk on the east side of the bridge, so you can take the little single track, or continue across the bridge and take the parking lot entrance to the trail, which last time I checked (last fall maybe?) was "closed" and had 2-3" railroad ballast instead of crushed limestone. Getting off at the Greenfield Rd end sucks no matter which direction you are going. There is no ped x-ing or signal long enough for a ped to cross, even though this is a park. There is a protected left for the cars there, but they take this to mean continue going left no matter what as long as you follow the car in front of you. If there is a break from these left turning cars, you have to try and merge into the traffic going straight through the intersection, or take your bike over a ped island and try to merge with the unsignaled right turn lane going from PHR to Greenfield Rd. After I got hit I continued to go that way for a bit and it wasn't uncommon for me to wait a light cycle or two before I got enough courage to jet across. That stop light needs ped signals, or at least longer light cycles. I totally skip this intersection crossing by taking PHR or Overlook. It is worth it.
Maybe Bridal trail is better, I don't know. I have skinny tires and I like hills, so I tend to take Overlook. Unfortunately, in the snow, the top of Overlook doesn't get much attention either, then you're left with PHR as your only option. I guess I could go up past the golf course, if that road is treated, or go all the way through Sq. Hill and approach from the other side, but it seems like I shouldn't have to go out of my way to avoid biking through a damn park.