I dont have them but heres some things to consider. The Henry trigger stays on the reciever when the lever is cycled why the BLR has a trigger attached to the lever. More than likey the Henry trigger is better.
The BLR is offered with a straight and curved lever and in takedown and also stainless models so it has more options so the BLR is the winner. Almost forgot theres also two action lengths in the BLR.
It comes down to what you want.
I would go with the BLR because its what i want but the truth is im afraid of both theserifles that use a ratchet or pinion gear drive for reliability. In the field a mauser type action is dead simple to use and maintain and in leverguns the Marlin is pretty simple. But if a person is just close to home and wont be out very far away it really doesnt matter.
Ive often thought of getting an stainless takedown BLR, oiling it up and vacuum packing each component and the ammo and making a totebag up for it and keeping it in a location for an emergency tool. Maybe this is fantasy but its a cool one.