don't the compressors generally push less air than a good track pump?
Assuming you don't have horrendous hoses, no. You'll easily get >15CFM down the hose, as the tank is full of compressed air. Narrowbore hoses do rob flow rate though
If you're running through air faster than the compressor can compress it, you're limited by the capacity of the compressor (ie, the actual pumping part). That's an issue you get when spray painting, power sanding etc. Not one you should ever encounter with a bicycle tyre.
25L tank at 100PSI, bike tyre running at maybe 60 max? Gives about 40l of air at 60psi I think…