The SafeNet product is now called "CloudHSM Classic". The current CloudHSM is documented to use the Cavium NITROX HSM, which in the PCI HSM format is partitionable into "virtual HSMs". This looks pretty much designed for cloud HSM providers.

Secrets Manager is very likely backed by KMS which appears to use a KMS-specific HSM module (judging by https://csrc.nist.gov/csrc/media/projects/cryptographic-modu...)