There's no reason why ten or a hundred selective pressures shouldn't operate entirely indepedently on the same population.
But, I agree, the experiment could be done. I would bet dollars to donuts unless you choose two pressures that are specifically designed to interfere, they will act independently.
'Tis where the rubber meets the road--did the scientists know, or have a pretty good estimate, in advance --
where the point mutations would have to be in order to increase survival within an increasing temperature environment?
If not, then I think it would be hard to know in advance which pressures would interfere, or not.
E.g. on a much earlier crevo thread I thought I read of the fact there were six mutations which all had to occur in rapid succession in order to generate a flagellum. Even with complete knowledge of the an organism's chromosome, it still looks like a tall order computationally in order to predict *in advance* the possibility of that occurrence.
Which would make the rigorous design of an experiment to predict and effect specific mutations harder to do.
(But that *would* be where the fun would be...as well as driving PETA completely Bat-sh*t.)
Cheers!