I don't own either, but shoot both on a regular basis (two brothers - each with different .22 LR lever guns
).
To continue with the analogies to cars:
The Henry is a Kia. --It's affordable, works, and gets the job done... but it won't last forever, and has some quirks.
The Browning is a Mercedes. --It's more expensive, more refined, more attractive, performs amazingly, doesn't have quirks, and will last forever.
The only thing some people don't like about the fantastic Browning, is the short-throw lever. It comes across as 'stiff' and 'awkward' for some people. ...But I love it. It's a fantastic model, and the short-throw lever makes operation very quick.