Should you care about the gap? In most cases: no. The identity value should be meaningless. In many cases I think that it is just an aesthetic issue to not have these gaps. (I’ve seen cases where you do run into problems because of the gap, I should add – but not frequently.)
For the SEQUENCE object, we have the CACHE option to specify how many values to cache. I.e., max values we can jump if we have a hard shutdown.
For identity, we have the IDENTITY CACHE database scoped configuration, introduced in SQL Server 2017. Caching on or off. On is default. We also have trace flag 272, at the instance level.
However, disabling the caching isn’t free.
In an ideal world, there are zero cases where you care about the gap. Identity integers and sequences are surrogate keys, and “surrogate” here means that it has no inherent business value—otherwise it’d be a natural key. Subsequently ascribing value to it is folly, and if you are in a scenario in which you need guaranteed sequences which always increase by exactly 1 and never have gaps (think something like check numbers or invoice numbers, things which accountants really want to see in a fixed order), identity integers and sequences aren’t the right tools for you.
But read on to see how much faster caching of identity values can make insert performance.