Probably will. But the height of the head is the same, so all you'll get will be more chimney in the air tube, the gap will be the same.
When my kanger types reach the end of their service life (for me, that's when they creep up to about 3 Ω), they get cleaned and tossed in a jar until I have enough to make a rebuild session worthwhile. I have heads from T3S, PT 1 and 2, Davides, Aros, Hypertanks... and don't bother to keep track of which is which. Find them to be interchangeable.
The T3S will work in the PT1, 2 and all the others. Their heads are a slightly wider diameter so don't go all the way down into the T3S base, so may leak or not make a connection. But that's easy to spot when you put it on.
(Of course, the T3 is a real bear to re-assemble - so my original T3 and MT3 toppers now have the "upgrade" base. But the chimneys went into the rebuild bin, and have seen service. On something

)