This is absolutely incorrect.
If the nonces are generated securely and independently for each signature, the private key remains secure even if the same key is used many times.
Today I learned that if you do many signatures with the same private key then it's very possible for an attacker to uncover it using these signatures and your public key: https://cdn.satellite.earth/f2daa984ce219112102ec783574df3ea612d51031e653479c903e95cfb3c70d7.mp3
This is absolutely incorrect.
If the nonces are generated securely and independently for each signature, the private key remains secure even if the same key is used many times.