The Suzuki is a great bike with great steering. Can get the speed wobbles though at high speed.
Nothing to worry about, You get used to it pretty quickly.
Make sure what ever bike you get that you check it over properly.
The Suzuki of that year can have gearbox issues. Make sure the gear lever does not have any play in it.
The bolt holding the gearshift stopper can come loose and the shifter cam can start to select 2 gears at once.
It's easy to fix with some loctite.
Also check the intake port bridge has not cracked.
Not trying to put you off but with any older bike you need to make sure your not getting a lemon.
The RM is a great bike that will out turn most bikes.
P.S Not sure what you should look out for on the YZ. Some one here should know any issues they may have.
Good hunting. Brrrrp Brrrrp