With HDDs, it's also mechanical wear and increased chance of a failure.
SSDs are not fully immune to increased load either.
(https://www.toshiba-storage.com/trends-technology/mttf-what-...)
For SSDs, writes matter a lot more. Reads may increase the temperature of the drive, so they'll have some effect, but I don't think I've seen a read endurance rating for an SSD.