I think framing it as "american media is afraid of Israel's wrath" is getting things a bit backwards.
Yes, the whole US media ecosystem runs cover for Israel. However it's not because Israel has any real power over western media, it's because the US government supports Israel.
Israel only has power because they're a proxy of the US.
I'd personally not do this considering the monthly costs of keeping a pet in stasis could be redirected to anything else and it seems to me that the technology is far enough out I probably won't live to see it.
Additionally you have to trust that the company you've chosen will remain solvent long enough for the technology to reanimate them from stasis.
Not trying to be a bummer, but they're important aspects to consider.