Not all IC's are made with a metal-oxide semiconductor process that's the most sensitive to ESD.
It's my understanding that the vast majority of analog IC's are BJT (bipolar transistor) technology internally which are not very sensitive to electrostatic discharge.
Only the metal oxide layer in (N/P)MOS IC's / FETs suffers from ESD. Then again, digital IC's can be BJT too but this is quite rare these days.
I would think Orange has enough experience in amplifier assembly to make the call if ESD protection is needed or not. If it isn't needed, you shouldn't half-ass it with having a strap "just in case", as the charges form everywhere else than on your hands as well, for example on work surfaces.
For proper ESD working space you would need in addition:
- ESD protective table surfaces
- ESD protective flooring
- ESD protective clothing
- Soldering iron tip grounded to the ESD grounding point, ESD-safe tools otherwise
- Personnel grounding testers when entering the separate ESD-safe assembly space
- Probably something else as well?
EDIT: actually, looking at the Orange schematics that can be found online, it does seem like there are discrete FET's and opamps with FET input stages (and the poweramp modules also have MOSFETs in them). So maybe there should be some ESD protection. But anyway, just the strap isn't enough for an industrial application.