Should I do my Ph.D. with a supervisor who rarely responds to my emails?
This depends on you and how you prefer to work and how able you are to carry on alone. Some people thrive on that. Others find it impossible.
Of course, the delays might just be explained by the fact that there has been on commitment yet on either side. They may respond differently once you get a formal relationship.
In some cases it is possible to correspond with other graduate students working under this professor to see if you could expect anything different from what you've seen so far. Do that if you can find a channel to do so. A former student might give you a more accurate assessment, actually.
But there are some warning signs. Don't ignore them unless you are capable of carrying on alone.