Possibly if you post an image of it outside the light we can check, preferably with the measurements also.
If it is we can can probably change hosts with the same pill assembly 
that would be very nice, to be able to use the same light engine in two of some of the best twisty & clicky 10440 hosts.
But I just have to clarify my statement that they have the same pill, with they look to me like they have the exact same pill, based on the pics in the OP and Vinh’s picture of his Toolvn from his skylumens store. But i don’t own a Lumitop Tool myself yet, so i can’t be 100% sure yet.
It was Tom E’s mod of his Illumina Ti in djozz Nichia 219C that first made me realize the possibility, because that pill is almost the same also.
The only difference i can see visually to the Lumitop tool pill is that the tool pill has two notches on the top.
But who knows the threading could be different if we are unlucky.