Kenny
Having done the conversion between the type of housing on your homelite and the other type, it is not difficult but not straightforward - mainly because the latter has a throttle cable mount on the back AF housing, whereas the one you currently have has a metal mount on the top of the carby.
So to do the swap, you have to cut or grind the mount off the filter housing and undo the metal mount and rotate it. I think I had to grind a bit off the metal mount to clear the housing when torqued down.
I did this on a RLT26CDSN, but should be the same