Hi,
It is desired to conduct the comparison using real GNSS data, which should include the true value of (most probably) psudorange, in order to test the accuracy of both approaches. In other words, the TOA and (further) the pseudorange would be calculated using real GNSS BOC data with multipath, and the calculated value would be compared with the true value.
I know two open source websites that provide current GNSS raw data . I could provide you the link to both website , or if you have your own source that might work .
Regards ,
Fahad