I understand in the grand scheme of things this is still highly inexperienced but where's the cut-off point of being "experienced"?
If what you are suggesting that this is not experienced enough to be offered a job then maybe the training needs to be extended. However this could push course costs even furthur through the already high roof!
If you are a fresh frozen ATPL holder with the typical 200 - 250 hours then your deemed to have
zero experience. Once you've done your first year or 2 multi crew ops and have 500 to 1000 hours multicrew time in your logbook then you can say your a
little 'experienced'. Your no longer a training risk(assuming you have a good training report - LPC/OPC, Line Checks etc) and will appear a little more 'interesting' on a CV. Until you get that first 500 to 1000 hours under your belt then your pi**ing against the wind unless you either strike very very lucky, or do a TR and line training package, or join the rest of the bandwagon that went to work for MOL!
As for sending our speculative CV's - absolutely! Worked for me on 2 or 3 occasions. Gotta be in it to win it!