Nope, you need to do a separate test for each power method as there can be quite a significant discrepancy. (my stages is ~20W lower than my trainer, or just under 10% in terms of my FTP which is more than enough to be working in an entirely different zone.)
Alternatively, you can use Powermatch in order to keep the measurement method consistent between both environments. However, the ramp test is low-stress enough that it might be worth performing again so you can rule that out as an issue.