Cloudflared Behavior and expectations

I am thinking of having Cloudflared Deployed in 2x locations, but the locations may not have the same exact services available to each but they would both be coming in on the same *.services.mydomain.com

if only 1 of 2 Cloudflared instances with the same shared config have access to a service, does it break the tunnel in the region that has missing services to call?
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