When you’re looking for a job, a good rule of thumb is to answer your phone as often as you can. You never know when a recruiter might be calling to set up an in-person meeting, or conduct a phone interview.
Professional looking email addresses and professional use of them is a great concept and idea. Its important, especially when putting it on a resume or other related places. I work in a business that does extensive email, but there are many times where email isn’t enough (I need a phone number so I can cut to the chase and get the details

Users often don’t invest enough time into their messages, resulting in incomplete, unprofessional, or otherwise under-whelming greetings. Sure, crafting a greeting doesn’t sound all that complicated; however, there are a number of pitfalls users can fall into—i.e. informality, terseness, sincerity, lack of direction, and more. While none of these sound too catastrophic, they are often interrelated. As such, they tend to worsen any problem. For example, humor can cause informality, worsen ambiguity, and weaken sincerity. That being said, users should strive to avoid ALL these pitfalls.
Say that your prospects want to speak to the sales department and so when they realize that they have reached the right department and hear the voicemail messages, they will be compelled to leave their contact details so that the sales team can reach out to them later. They will be relieved.