A quick search for "TPM side-channel attack" substantiates that claim.
Looking at the manufacturers of TPM ICs, it makes sense. Most of them make microcontrollers that have code-protect bits in them that are notorious for being susceptible to simple side channel attacks, but also for not being a target simply because no one cares about the object code on any random product's microcontroller.
I worked at a company that sold a microcontroller that executed from external memory, so there was no possible way to have built-in code protect bits, and some potential customers complained until we included a library to encrypt the external memory, run a small unencrypted bootloader which included the a plain-text decryption key, then run the encrypted program. That checked their box, despite doing nothing useful.
Looking at the manufacturers of TPM ICs, it makes sense. Most of them make microcontrollers that have code-protect bits in them that are notorious for being susceptible to simple side channel attacks, but also for not being a target simply because no one cares about the object code on any random product's microcontroller.
I worked at a company that sold a microcontroller that executed from external memory, so there was no possible way to have built-in code protect bits, and some potential customers complained until we included a library to encrypt the external memory, run a small unencrypted bootloader which included the a plain-text decryption key, then run the encrypted program. That checked their box, despite doing nothing useful.