It would depend on the problem. 9 times out of 10 it will likely be a general problem, or a problem they would need to contact someone else about, which would mean calling you back or putting you on hold.
The good thing about email is that it is all recorded, and you don't need to keep repeating things. One of the most frustrating things about phoning a company is continuously speaking to different people, and having to explain things over and over again. Then they may say something incorrect, and you have no proof of what was said, or you may misinterpret something, very frustrating.Where a single email detailing the issue will usually be enough, and you then get a reply in your own time. But it is horse for courses and depends on the type of phone call. I see phone being better for sales enquiries than support for example, and you will often see companies offering phone for sales, but support has to be logged through an email ticketing system.
A functioning CRM system would solve that problem of repeating yourself, but I know first hand that a company staffed by old people will end up writing their own notes down in their own system and they get quite annoyed when you ask them to email you any requests to call people because "thats not the way I do things"
Yes I am quite bitter about working with a whole lot of old people who are stuck 20 years in the past.
Not an attitude to be proud of.