Pretty much ALL PSU's will only supply the current that the load demands/requires.
As far as efficiency comes into it then your talking about power factor, inductive and capacitive reactance ..etc ..etc.
But yes modern PSU's are more efficient as they have active power factor correction which means it can alter the value of capacitor used to correct the power factor as the inductance will alter depending on the amount of current being drawn.
You've still got the limitation of the fuse in the plug at the end of the extension lead (i.e. up to 13A) but if all your devices use less than that it should be safe.
13A is the largest fuse I've seen, certainly for domestic use so yes, when in use you shouldn't exceed 13A or you'll have problems.
Should be that or less but most will have a 3A fuse in them I think so it ought to be fine.
I'm not an electrical expert either but a fuse simply acts as a cut-off switch, when 3A (or whatever) is exceeded then the fuse blows and stops the current flowing because the circuit is broken. All that will be passed through a fuse is what is necessary plus a miniscule amount which will be lost due to the inevitable resistance of the wire itself (I think).