Assuming you are talking about a coded strategy, I would say it mostly depends on whether your strategy reacts to any intra-bar values or makes any intra-bar entries or exits, in which case you are going to get different results.
Using historical data will effectively result in your strategy running in 'on bar closed' mode.
Using Market Replay data will allow intra-bar activity, but that's only relevant if your strategy runs on every bar update.
Even if your strategy does make use of the extra intra-bar activity available with Market Replay data, or if it uses bid/ask data, the data stream is still compromised to a one second granularity, so 'accuracy' is a moot point. It might be 'better' but it still might not be 'accurate'.
If you have opted for the strategy running on closed bars choice of data won't matter anyway.
Just my 2c.
The following 2 users say Thank You to ratfink for this post: