This is bully, though it may not survive amendments.
Many gun owners in states that use a “may issue” permitting process, such as California or New Jersey, are not able to obtain concealed carry permits from their home state—even if they’ve passed a background check and met the training requirements—since the final decision in those states is left at the discretion of government officials. However, those same gun owners may be able to obtain a non-resident permit from a state with different gun laws. Under Hudson’s proposal, that permit would allow them to carry across the country—including in their home state.
Source: National Reciprocity Bill Will Apply to Non-Resident Gun Carry Permits