I believe the OM2 will correct the different value as a result of the brighter screen. I have an OM1 with Beattie screen and have changed the ASA value to the correct metering. I also use the OM4Ti and this one compensates the differences.
Only one way to find out if focussing becomes easier or harder, is to try. For some the brighter screens do not work. For others, like me, they do. The OM1 with Beattie screen is like going to the cinema versus watching tv. But I am a photographer who values the bright viewfinder over easy focusing. I use the 40/2 lens only on both bodies, with the Beattie screen there's more clarity and brightness than with a 1.4/50 and OM regular screens.
Hi
Just to expand a bit on what you said.
The original ON-2 and -2N will not be affected by different screens when they are on Auto. In Manual a correction has to be made for some screens.
That is due to the fact that the metering cells in Auto are in the bottom of the chamber and don't read from the focusing screen. In Manual, these 2 cameras take their readings from the cells on the prism and so they read from the focusing screen.
This is documented in several manuals and also here:
http://esif.world-traveller.org/om-sif.htm
The OM-2SP, -3(Ti) and -4(Ti) all have a single cell in the bottom of the film chamber, so they aren't affected by the focusing screen.
The disadvantage i they also have a semi-silver mirror resulting in a darker viewfinder.
That's why the series 2 of focusing screens were introduced.
But, on my OM-2SP and -4 I don't see much of a difference with the standard 1-13 screen between these and the OM-1 and -2.