If digitalisation were to dampen inflation over a prolonged period of time, nominal interest rates would fall, narrowing the gap to the lower bound. This increases the likelihood – all else being equal – of monetary policymakers having to resort to non-standard measures to remain capable of effective intervention.
From what we have seen so far, though, it looks like the inflation-dampening effect of digitalisation is fairly minor. It is also worth bearing in mind that the effects of reduced costs and increased competition stem from an adjustment process. In the new long-term equilibrium state, potential for price cuts would already have been exhausted and the impact on inflation would have ceased.