No, sadly not.
Wasn't there a lot of confusion about the console exclusive/console debut/ ps4 exclusive labels they used? I seem to remember some games being labelled incorrectly, although I can't say for sure.
There have been an accident or two over the years, but it's usually very clear.
Console Exclusive = Not coming to other consoles, but a PC version exists.
First on Console Exclusive = Basically equivalent to timed exclusive, and we usually find out how long in the press release that accompanies the announcement.
Only on PlayStation - Only found on a PlayStation platform, and nowhere else including no PC version.
They've tended to be very clear about their exclusives, unlike the way Microsoft enjoyed obfuscating their deals especially during the early XBO years, but this whole murkiness surrounding Crash is especially egregious considering how Sony typically behaves about this stuff.
They need to lean on their pro-consumer stances of the PS4 gen and be honest about the deal with Crash, because I am sure many XBO and Switch owners would like to know their options.