Yes kind of true..... but not completely true.

They all want time on type & experience relevant to their ops. No one wants to train anyone......

There are a lot of FO jobs out there on a variety of A/C except saabs or metroliners....

But if you may have noticed, recently the time of type requirement is also slowly coming down; As earlier some companies wanted 1000 hrs on type, went to 500 hrs on type & now a lot of them are down to 300 hrs on type..... I assume if the trend continues, very soon we will have companies looking for people where one has experience on a similar type, Like DASH 300 vs 400 or even ATR & Q400, CRJ 700/900 to E175/190 etc...

What are you flying currently if you don't mind sharing.... I may be able to point 1 or 2 that may fit you.