It is straight-forward enough to achieve,but whether the average punter would appreciate the time,therefore expense...is another matter.
Get yourself a dedicated ratchet or powered board cutter,with a 0.5mm minor kerked blade,and an accurate depth stop. Get a Bahco nail puller,and some scraps of steel plate,these are used for bracing the heel of the puller,and holding any sprung board up,to view any "issues".
Cut across the mid point of any joist,removing any nails which hamper this. The bahco,with honed jaws,will extract ANY nail,even a buried lost-head,it will leave two small indents,each side of the extracted nail.
The first board lifted,if t&g,will need the tongue cutting,with a sharp knife,keep tight to the edge of the grooved edge,and if the grain guides the blade off course,re-start,or come from the other side.
Do not,run any blade/instrument,below the board,for any further than needed,as you may find more work...
Pit-falls; bear in mind,a lot of older properties,may have cables passing in "non-standard" routes,for example,over joists,under boards yet between nails. I have even seen boards "hollowed" to accommodate groups of cables,especially at door-ways!
Be careful driving nails below boards,with a punch,you may help it reach that pipe,or worse...
If appearance not critical,re-lay using screws,as holes are drilled,and re-lifting is a breeze!