NVMe storage communicates with modern solid-state drives using a protocol designed for low latency and high parallelism. In hosting environments, that can improve the speed of operations that depend heavily on storage, including database queries, cache reads and file access.
What to consider
Storage is only one part of website performance. CPU allocation, memory, web-server configuration, caching, database tuning and application code also matter. NVMe is most valuable when the rest of the stack is configured well enough to take advantage of it.
When comparing plans, look beyond the NVMe label and consider resource allocation, backup design, server load and support quality as part of the full performance picture.