I disagree with most of that, apart from the secondary weapons.
I've played Timesplitters for ages on the PS2, it takes a good while to unlock all the content and get golds/platinums in the challenges.
OK the story mode in TS2 is a bit mis-match but the levels were still very fun and surprisingly expansive.
I thought there were a few reload animations (?) and the weapons were certainly not boring, they were quality.
The graphical style was really cool in my view and i think that makes it slightly easier to bring on Wii from a result of its simplicity.
It doesn't help that you played both versions on the GC though - C stick is poor.
Pointer controls will make up for that undoubtedly.