I don't think the PSR-2000's sequencer is cheap, but just lacking in some areas.. It should at least allow you to loop (outside of the style recorder), and it should allow you to overdub on all 16 tracks... For some reason Yamaha keeps making their sequencers this way... I wouldn't doubt that the "Tyros" has the same set up with its sequencer as well... It's a pitty the VERY expensive 9000 Pro is the same way too....
_________________________
GEAR: Yamaha MOXF-6, Casio MZX-500, Roland Juno-Di, M-Audio Venom, Roland RS-70, Yamaha PSR S700, M-Audio Axiom Pro-61 (Midi Controller). SOFTWARE: Mixcraft-7, PowerTracks Pro Audio 2013, Beat Thang Virtual, Dimension Le.