They have both been largely surpassed performance-wise by the 327 MAG and the 45 GAP cartridges - -
But unfortunately many of the experts here are slow to embrace the future.
No, both the 357mag and the 357sig outperform the 45GAP in five of the six categories of FBI protocol testing, plus they outperform the 45GAP in the IWBA heavy clothing test. The only category the 45GAP can hang is the FBI protocol steel testing. In that category they are near a dead heat.
The 327mag was developed by Federal and I do not believe it passed the protocol testing for them to offer a Law Enforcement round in that chambering.
