If one is simply talking about adding sockets to locations which already have sockets (or to low risk locations), you shouldn't need to do any assessment to get an answer - since, if usage doesn't change, then adding sockets (identically protected {or not} as existing ones) cannot, itself, increase risk.I would need to do a full risk assessment to give you an affirmative/ negative answer.
It's like having the extravagant situation in which a household of N people (c.f. appliances to plug in) who share M identical cars (c.f. identical sockets), with M being greater than N. Since one person cannot drive more than one car at a time (c.f. one appliance can't be plugged into more than one socket at once) the risk of a crash/injury/whatever does not increase, no matter how much one increases 'M' (number of identical cars - c.f. number of identical sockets).
Kind Regards, John