Those coin's "anonymity" properties unfortunately are not independent of transacting medium and since 95% of commercial activity takes place off-chain (e.g. witness last month's 14 million Moneros) you'd be out of luck. So what you actually mean is you'd only only accept blockchain transactions which as we've seen, barely feature in the commercial trading realm and will only do so less as the crypto-economy grows.

The anonymity characteristics of the particular particular transacting medium you're using would have far more to say than the blockchain properties and I wouldn't hold my breath for a 1000-employee payroll to get done on an obscured chain