Storing copies of a TOTP secret is as good as just having 2 high-entropy passwords and saving multiple copies of one of them in clear text, which is not more secure than having 2 high-entropy passwords and
not storing them anywhere, and which is equivalent to just 1 doubly-high-entropy password not stored anywhere.
The fact that you can store copies effectively defeats the purpose of 2FA.
One of the reasons to have multiple YubiKeys is that if I lose one on the street I can just login to all my services with my backup key, disable the lost/stolen key, and buy and register a new key.
Whereas if someone got a hold of your TOTP secret, ehhh ... you might not necessarily know for a while.