Kermit - KTM's screens are designed to be cleaned and or replaced as the transmission spits steel into the shared oil between the transmission and the engine (I just helped my friend change the oil in his 2006 640 adv) The Toyota screens are not easy to access or listed as "wear" parts to be serviced or cleaned at any interval.
And if the filters clog the VVTi actuated dies from oil starvation requiring a new top end rebuild anyway.
I see the screen as a part installed by a overzealous Engineer/Lawyer that was trying to do the right thing but stopped 1/2 way through. if the screens were ment to be cleaned and then put back I would do that. Clean it and then put it back, but the oil filter will catch any carbon gunk that's floating around in the engine and frequent oil changes keep the likelihood of gunk building up in the engine.
And when it's removed the engine sounds nice and has better "drivabality".
I think it's worth a little smoother mid/top end power delivery and I don't have to worry about the screen getting junk in it and killing the motor. A friend of the family went through three or four turbos in his Subaru because of misplaced screens.Subaru kept replacing the turbos and not understanding the problem. The aftermarket solution was to yank them due to oil starvation problems and change the oil more often to prevent carbon build up.
However you can also just leave it alone and drive the Toyota.