Does a social media page design really matter for an online business to grow? There are lots of online crowdsourcing marketplaces which provides social media page designs. Are these any good?
I don't think so. Only a cover page or design cannot do anything. Until there is not anything interesting in your page.
I agree with you, social media promotions are very important for your business to grow and build social media presence. Sharing interesting images, blogs, quizzes, voting etc. are some of the marketing practices. We can have a good and professional social media page design and a logo which boosts our social media accounts.
I don't know how to design a logo and a social media page, and if I copied it from google or some other websites then it will be of no use. There are some tools for designing a logo, but the logo design looks unprofessional. So getting a logo or other graphic designs concepts from websites like Designhill or DesignCrowd is a good option.
I think it indeed is a factor. Of course, if you do good services you will grow anyway, but how you portray yourself online can make a huge difference. So, a logo is part of your representation and if it's nice, it will boost the overall image of your website/social media page.