The point of doing something like this "Lambda Monolith" is that transitioning to an always-on server is trivial. I've been doing this exact setup for a while and our static costs basically evaporated. Seeing your costs drop below a dollar/month on a project you are building is amazing. As soon as one of our projects is large enough, we move it to a dedicated instance or cluster. This allows us to delay that point until we have enough revenue to justify the costs.