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I think the question should not be considered as "should".
Of course it´s important some presence in the digital media, like, of course, an company site.
The "should" always will depend about the product/service that you want to promote, the strategy that is considered in Marketing Plan to achieve the results near yours customers/stakeholders, the notoriety that you want to achieve regarding the competitors, the presence and efectiveness in search engines, and so on.
Concluding, need´s to be considered if the investment in that field it will be important for the goals that are refered in overall company strategy.
But of course, at the end, and at the present times, is always positive have some digital marketing strategy.