Any headlamp can be attached to a helmet. just slide the headband out (there are slots for this) and replace with double-sided Velcro. Run that through the vents and your set.

I don't have the remix, but I have a similar model called the Byte. It's an good headlamp, but my big concern is there is not even an O-ring in the battery door. So questionable how it will perform in the rain. But I use my Byte mostly in an airplane, so rain has not been an issue.

I do have a Princeton Tec "EOS-Bike" Comes with a headband, a handlebar mount and a Helmet mount. As I said above, any headlamp can be affixed to a helmet, but the PT EOS-Bike just makes it easier. It's also waterproof to IPX8 standards and I have ridden mine in heavy rain. It's bright enough that once when my main bar-mounted headlight failed, the EOS got me home.

I highly recommend you look at the EOS.