Not remotely similar? Both are RPC (request/response) optimized and are focused on removing head of line blocking and strict need for FIFO message ordering in favour of multiplexing.
QUIC is more focused on the global web applications, but most datacentres also leverage the web protocols (REST on HTTP 1.1 or HTTP/2, gRPC HTTP/2) for their inter-process communication, just with a a lot more east-west traffic (arguably 10x for every 1x N/S flow). There's also a fair amount app-specific messaging stacks (usually L7 over TCP) like Kafka, NATS or AMQP which have their own L7 facilities for dealing with TCP drawbacks that might benefit from a retrofit like Homa, but it's not clear if it's worth the effort.
They are design approaches for solving similar requirements. Yes, homa deals with other things (makes ECMP load balancing easier) but also has blindspots on datacenter requirements like security: a lot of data centre traffic requires hop by hop TLS for authentication, integrity and privacy, QUIC explicitly focuses on improving latency of TLS handshakes.