True.
Plenty of non-dovetail top receiver guns have been drilled and tapped for scope bases a little bit 'off', and still can be accurate with a scope. Depending on severity, a scope ring alignment dowel and some lapping, or some offset rings (such as Burris makes) may be required, or nothing at all. All that really matters is if the scope tube axis is, or can be reasonably made to be, parallel to the bore axis.
Obviously, as the rifle has been accurate with a scope before, this must be the case.