The principle is right but the math is a little off.
A Faber LP 80 only holds 78 cu ft at 2640 psi and holds 88.6 cu ft at 3000 psi (which is still a 25% overfill).
An AL 80 only hold 77 cu ft. so double AL 80's only offer 154 cu ft while the overfilled Faber 's at 3000 psi will hold 177 cu ft.
154 cu ft is not much if you plan on having a 1/3 rd reserve (and you also need to ensure that 1/3rd is also adequate gas to do the deco off the backgas in the event you lose a deco gas.)
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Realistically, if you have decent gas consumption, you are limited to about 20-25 minutes at 150 ft. If that is enough bottom time, then an AL 80 will probably work for you.
Being a hoover, going deeper and/or longer requires the same1/3 reserve, but the 1/3rd reserve on double 80's begins to become inadequate for deco on the reserve backgas as a contingency if you lose a deco gas. Consequently, a larger reserve, a larger set of doubles, a second deco gas, a stage bottle, or a combination of two or more of the previous options begin to be needed to ensure adequate bottom gas, deco gas and a reserve with adequate lost gas redundancy.
An AL 80 stage is not hard to carry in addition to an AL 40 deco bottle - and both are ditchable early in the dive if you need to ascend early (while you have adequate backgas for the deco over and above the reserve) so using all of the AL 80 stage first and then switching to back gas at depth - with 1/3 rd of the TOTAL stage plus doubles gas maintained in the doubles (77 cu ft/1500 psi, rather than 51 cu ft/1000 psi) can be an effective and fairly inexpensive way to extend the range of a set of AL80's or other small doubles.
The above probably also highlights the obvious - when you move to doubles with the intent of really using them to expand your range of depth or bottom time, the level of training, gas planning and contingency planning goes up considerably. So there is a lot more to it than strapping on double tanks and jumping off the end of the boat.