The results indicated that airlines view jet familiarisation as crucial before they would consider putting a low hour's pilot through a type rating.
Just to play devils' advocate for a moment. Bear in mind that it depends on how the question was worded. This may be the IDEAL for the Airlines, but if they need pilots and the IDEAL isn't available they will train them. If they didn't then how would a turboprop guy ever move across to jet ?
Secondly, you say the survey went to several MAJOR airlines. Again bear in mind that a major such as Virgin is only likely to hire proven jet pilots with many hours under their belts so yes, jet familiarisation would be a requirement. The newly qualified wannabe wouldn't have much of a chance of getting a job with these outfits without the experience. In reality a low hours guy would start with a smaller outfit. What do these Airlines require when looking for pilots ?
These schools want your business and as such will say anything to attract potential customers. While the information may be factually correct, you should consider the bigger picture.
AFAIK a sim check is to test your flying, multi tasking, working under pressure, multi crew and learning abilities, not that you can necessarily fly a jet. If your JOT is say on a 737 and you have a sim check on an A320, then again I doubt you would have much of an advantage as it is a different machine.
If after considering all this you decide it's still right for you then go for it.
Good luck to you both.