Yes - if you leave the GPS on it will drain. But the GPS typically runs on AA batteries, and would likely take weeks to drain the motorcycle battery even if it were left on. If you're running high-drain devices like heated grips, a relay is needed so the power can come straight from the battery, while the trigger wire can connect to the headlight wire or other switched power. If it's just the GPS, you wouldn't even really need a relay and could wire it directly to that switched power with no issues.
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