Yahillwe, I think this is a case of assumption (of guest access to the first class lounge in DXB) being the mother of all screw ups or whatever the quote is.
I would have also assumed that you could guest someone into the first class lounge and in fact you can do this at outstations like LHR and LGW assuming you have a gold, and maybe even silver, Skywards card. Seems that in Dubai you can guest into the Biz lounge which I guess (partly) explains why its so full but not the first lounge thereby keeping it very exclusive. Of course, the outstations are combined first/biz lounges.
For future reference, you can upgrade a Biz fare to first for 25,000 miles (which you should have in your account already) to Europe assuming availability and you can do this right in the lounge; once done you have access to the first lounge. Or, you could just have bought 2 first class tickets to avoid separating the family in the lounge and also on-board or were you expecting an opup as well
Suggest you re-assess not flying again with EK. I mean, there's no comparison between first class on the A380 and BA's dated concept so why would you want to deprive yourself? You wouldn't not fly BA again because they don't do chauffeur drive or would you assume they do just because EK does? Different companies, countries and different rules.