Would you like me to send you the terms and conditions for travel, along with a complete booking package outlining commissions and free spots?
What Kevin said. It isn't a matter of trust, it has to do with room on the boat. Yes, you would be welcome with your LP130 and a 40 pony. If you used your 40 pony, we would consider you to be in an out of air situation, and act accordingly. You are welcome, however, to use the 15 foot "down regulator" we provide in exactly that situation. In fact, when we hear the regulator flowing gas, we will send a DM in the water immediately with a slung 80 to assist you if needed.
Then we will discuss your gas management, why you blew through 130 cubic feet of gas when everyone else made the same dive on an 80, and we'll spend the next few dives with me explaining the theory of proper gas management in a location 100 miles from the nearest help, and 200 miles from the nearest rescue helicopter, and 250 miles from the nearest guaranteed open chamber. This will take us a few dives minimum, when you could be looking at the pretty fishes to complete this upgrade to your knowledge.
Why do folks want the opportunity to circumvent safe diving rules in remote locations?
I guarantee that, with 5 dives a day, you will be limited on either bottom time or your O2 clock sometime on day 2 or 3.
You would also be welcome to sidemount that 120 with a 40 (or other) pony. You will only get a single tank station, however. Your second cylinder (pony, whatever you want to call it) will have to go under your bench, where your dive gear would otherwise go.
And last but not least, it is silly for an operator to require a sidemount (or any other configuration) card. I have seen with my own eyes the results of taking sodemount training with Doppler, however. Doppler's students are rigged neatly, are trim in the water, and when they stand up they don't look like a used scuba flea market. Others, the folks who learn on their own, tweaking and adjusting and messing around by themselves in some quarry somewhere look like they covered themselves in Velcro and had someone throw their extra scuba gear on. They clump down the boat, banging and thrashing the whole way, with the butt of their cylinders swinging into other divers, making them very popular. Doppler's students stand up, their crap falls into place, they jump off the boat with no fuss or clanging, and go diving. So, at the end of the day, you don't need a certification, but training is very valuable.