second conditional

[wind]

hi,
a native speaker of english says :"you can't use would be able to in a second conditional. 'If I were taller, I would be able to play basketball.' is wrong", he says. Any comments?
wind

[Mister Micawber]

The native speaker has not explored the possibilities of the language.

Conditional I:
If I am in Los Angeles, I can play basketball.'
If I am in Los Angeles, I will be able to play basketball.'

Conditional II:
'If I were taller, I could play basketball.'
'If I were taller, I would be able to play basketball.'

Conditional III:
'If I had been taller, I could have played basketball.'
'If I had been taller, I would have been able to play basketball.'

I can find no flaw in this paradigm.

[wind]

thankyou for the answer
wind