Hacked Vitas running on firmware 3.60 do not have PSN access, and are therefore losing access to several services available to the console, including PS4 Remote play. This is now a problem of the past with this tool which will let you run PS4 Remote play on your hacked PS Vita.
Disclaimer: Please note that the homebrew modifies your file ur0:user/00/np/myprofile.dat without much of a warning. It is also a homebrew that requires “unsafe” access enabled given that it touches a file on the ur0 partition. I have not tested the software yet at the time of publishing this article. Use at your own risk, however the source code is available as well for those who’d rather confirm things are working as designed.