Yes, online games can degrade system performance—but the slowdown is usually due to resource contention, not the "internet" aspect itself. Here is why and how to mitigate it.
A well-maintained modern PC (Ryzen 5 / i5 + RTX 3060 / RX 6600 + 16 GB RAM + NVMe SSD) runs current online games smoothly while Discord/Chrome idle in background.