Bar Accuracy in Paper Simulation

I just want to confirm, the historical data we fetch when using paper trading API is the same as the information returned for the live historical api trading, correct?

It’ll let me assess if my time conversion from Pacific to Eastern, then to GMT is correct (for epoch)

Edit: I’ve compared between two bar charts from Yahoo and TDAMT and they both reflect the same O/H/L/C.

Below is a picture of a bar at 3:59pm on January 10th, but it is off from the displayed chart on Yahoo/TDAMT

For those two sites, the H/L/C/O look like this:
Open: 310.42
High: 310.42
Low: 310.26
Close: 310.37
Volume: 372.44k

what symbol are we talking about?