Yes, that is what https://nsec.app is running. The screenshot from the readme describes my problem: https://image.nostr.build/a46c0715ce2603f91ad3386c5c92084ceac61cd1edc20b26ac848b7532faa3ef.jpg
I must have misunderstood. I was under the impression you could use your own self-hosted as an always-on signer to alleviate. I haven't been able to dig into it since seeing this. https://primal.net/e/note1xw04kjsq2cnay0xua7l5cnqgu9qkfnun4npmw54tyy68v8kr2wuq4x6jq8