The oiling system through the galleys in one engine could be plumbed differently than some other engine as they feed the lifters. So suggesting that because the lifters work fine in either orientation in a small block Chevy means they absolutely will work ok in a Twin Cam or any other engine isn't a safe assumption. However....
The plumbing in the Twin Cam does let the lifters pressurize no matter which way the lifters are facing. Feuling's instructions (for example) nor others I've noticed specify a specific orientation. And these are the same install instructions that those companies have published for a long time.
Haven't seen the Woods lifters that can only be installed one way. So don't know if they've changed something about their lifters that make them only work one way. But in the engine's more than a decade of use the Twin Cam experience and its lifter installations all inform us that orientation isn't a big deal.
Have to admit I've wondered if Woods has done something unique with its lifters to make it really take advantage of a specific orientation. Have also wondered, however, if it's just another case of a vendor seeing a product that could be offered as a solution to a problem we didn't really have. It's not like we won't buy the stuff if it's packaged well....
Woods claims them to be directional, so I can only assume the roller is offset to one side...

I've read of many lifter failures here, and I was hoping to gather some information....
I had 3 fail, with the roller shaft-to-roller having excess play. I do not know if this problem existed prior as this is the first time this was opened up.
My 03FLSTFI had 55K when I did the big bore, hear work and a few other nice-to haves.. assembled with the original lifters and never had an issue... the new owner was very happy with it.
08 FLHX has 22K, no issues, no noises.
We know the story of my 09 SERG.... hence this post.