no, not necessarily
the transparent overlays are special cases of the simpler, more mature, pen tablets that have been available since monitors went interactive in the 80s
a pen tablet is simply a surface mapped to display, generally addressed via stylus (though one can use fingers). Usually the stylus exhibit some form of pressure sensitivity. (less useful for pure recording but an interesting feature in conjunction with virtual & synthetic instruments)
here's a link commenting on one manufacturer:
http://en.wikipedia.org/wiki/Wacom
my limited experience with transparent overlays is that they tend to have slower feedback times; are more prone to anomalies, but it's been a couple of years since I've reviewed them
original comments on resolution are still the critical element . . . prior to spending butt load of money the suggestion was to make sure the tech integrates with work flow . . . cheapest way to do that is a $(US)40-100 pen tablet. Learning curve on these is speed of light (to manipulate recording variables) . . . and they can be oriented vertically as easily as horizontally . . . if you find they are a comfortable interface then mega buck touch screen monitor might be just the the ticket