Nope, you’ll be OK. The point of the repeater is to receive and then re-broadcast the signal/corrections from the base, and the rover will perceive that signal in the same way whether it’s from the base or the repeater. So the repeater needs to be within range of the base signal.
My preferred SOP is to run with the TDL as a repeater rather than a base radio. Far more flexibility for base and repeater placement. I think you’ll like that setup better.
For some jobs where I needed to move around a bunch, I would just have the TDL in the survey rig, with cable running out the window to the whip antenna on a magnetic mount. Jump out of the truck, start a survey, and I’ve always got radio signal.
(Make sure that you configure your base radio to be “base + 1 repeater” too.)
“…people will come to love their oppression, to adore the technologies that undo their capacities to think.” -Neil Postman